What is the GCF of 25 and 25?

Since 25 is the largest of these common factors, the GCF of 25 and 25 would be 25.

What is the HCF of 12 and 25?

Is the LCM of 12 and 25 the same as the HCF of 12 and 25? No. The LCM of 12 and 25 is 300 and the HCF of 12 and 25 is 1 .

How to find the GCF of two numbers?

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number . 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

What is the GCF factor of 12?

The factors of 12 include: 1, 2, 3, 4, 6, and 12 . Thus, the common factors of 16 and 12 are: 1, 2, and 4. Often in math problems, it can be desirable to find the greatest common factor of some given numbers. In this case, the greatest common factor is 4.

What are the GCF pairs of 25?

To solve this problem, we need to know the factors of 25. List them out: 1, 5, and 25, therefore the factor pairs are: (1,25), (5,5) .

What is 25 factor of 25?

The factors of 25 are 1, 5 and 25 and its negative factors are -1, -5 and -25.

What is the GCF of 25 and 24?

Therefore, the highest common factor of 24 and 25 is 1 .

What are the common multiples of 12 and 25?

The LCM of 12 and 25 is 300. To find the least common multiple of 12 and 25, we need to find the multiples of 12 and 25 (multiples of 12 = 12, 24, 36, 48 . . . . 300; multiples of 25 = 25, 50, 75, 100 . . . . 300) and choose the smallest multiple that is exactly divisible by 12 and 25, i.e., 300.

What is the HCF of 12 12 and 24?

There are 6 common factors of 12 and 24, that are 1, 2, 3, 4, 6, and 12. Therefore, the highest common factor of 12 and 24 is 12 .

How do you factor by GCF?

To factor the GCF out of a polynomial, we do the following: Find the GCF of all the terms in the polynomial. Express each term as a product of the GCF and another factor. Use the distributive property to factor out the GCF .

What is 25 and 12 LCM?

The LCM of 12 and 25 is 300 . To find the least common multiple of 12 and 25, we need to find the multiples of 12 and 25 (multiples of 12 = 12, 24, 36, 48 . . . . 300; multiples of 25 = 25, 50, 75, 100 . . . . 300) and choose the smallest multiple that is exactly divisible by 12 and 25, i.e., 300.

What is 80 70 330 1280?

To get from 330 to 1280, we need to multiply 330 by 3.87878787..., which we can approximate to 3.88. Thus, 330 x 3.88 = 1277.4, which we can round up to 1280. Therefore, the missing number in the series is 315. The completed series would be: 80, 70, 315, 330, 1280 .

GCF of 12 and 25 | How to Find GCF of 12, 25? (2024)

GCF of 12 and 25 is the largest possible number that divides 12 and 25 exactly without any remainder. The factors of 12 and 25 are 1, 2, 3, 4, 6, 12 and 1, 5, 25 respectively. There are 3 commonly used methods to find the GCF of 12 and 25 - prime factorization, long division, and Euclidean algorithm.

1.	GCF of 12 and 25
2.	List of Methods
3.	Solved Examples
4.	FAQs

What is GCF of 12 and 25?

Answer: GCF of 12 and 25 is 1.

Explanation:

The GCF of two non-zero integers, x(12) and y(25), is the greatest positive integer m(1) that divides both x(12) and y(25) without any remainder.

Methods to Find GCF of 12 and 25

Let's look at the different methods for finding the GCF of 12 and 25.

Long Division Method
Prime Factorization Method
Using Euclid's Algorithm

GCF of 12 and 25 by Long Division

GCF of 12 and 25 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

GCF of 12 and 25 by Prime Factorization

Prime factorization of 12 and 25 is (2 × 2 × 3) and (5 × 5) respectively. As visible, there are no common prime factors between 12 and 25, i.e. they are coprime. Hence, the GCF of 12 and 25 will be 1.

GCF of 12 and 25 by Euclidean Algorithm

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)
where X > Y and mod is the modulo operator.

Here X = 25 and Y = 12

GCF(25, 12) = GCF(12, 25 mod 12) = GCF(12, 1)
GCF(12, 1) = GCF(1, 12 mod 1) = GCF(1, 0)
GCF(1, 0) = 1 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of GCF of 12 and 25 is 1.

☛ Also Check:

GCF of 75, 8 and 21 = 1
GCF of 20 and 40 = 20
GCF of 30 and 75 = 15
GCF of 26 and 65 = 13
GCF of 36 and 49 = 1
GCF of 84 and 90 = 6
GCF of 27 and 63 = 9

GCF of 12 and 25 Examples

Example 1: For two numbers, GCF = 1 and LCM = 300. If one number is 25, find the other number.
Solution:
Given: GCF (x, 25) = 1 and LCM (x, 25) = 300
∵ GCF × LCM = 25 × (x)
⇒ x = (GCF × LCM)/25
⇒ x = (1 × 300)/25
⇒ x = 12
Therefore, the other number is 12.
See Also
GCF of 7 and 12 | How to Find GCF of 7, 12?
Example 2: The product of two numbers is 300. If their GCF is 1, what is their LCM?
Solution:
Given: GCF = 1 and product of numbers = 300
∵ LCM × GCF = product of numbers
⇒ LCM = Product/GCF = 300/1
Therefore, the LCM is 300.
Example 3: Find the GCF of 12 and 25, if their LCM is 300.
Solution:
∵ LCM × GCF = 12 × 25
⇒ GCF(12, 25) = (12 × 25)/300 = 1
Therefore, the greatest common factor of 12 and 25 is 1.

Show Solution >

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FAQs on GCF of 12 and 25

What is the GCF of 12 and 25?

The GCF of 12 and 25 is 1. To calculate the GCF (Greatest Common Factor) of 12 and 25, we need to factor each number (factors of 12 = 1, 2, 3, 4, 6, 12; factors of 25 = 1, 5, 25) and choose the greatest factor that exactly divides both 12 and 25, i.e., 1.

How to Find the GCF of 12 and 25 by Prime Factorization?

To find the GCF of 12 and 25, we will find the prime factorization of the given numbers, i.e. 12 = 2 × 2 × 3; 25 = 5 × 5.
⇒ There is no common prime factor for 12 and 25. Hence, GCF (12, 25) = 1.
☛ What are Prime Numbers?

How to Find the GCF of 12 and 25 by Long Division Method?

To find the GCF of 12, 25 using long division method, 25 is divided by 12. The corresponding divisor (1) when remainder equals 0 is taken as GCF.

What are the Methods to Find GCF of 12 and 25?

There are three commonly used methods to find the GCF of 12 and 25.

By Prime Factorization
By Long Division
By Listing Common Factors

If the GCF of 25 and 12 is 1, Find its LCM.

GCF(25, 12) × LCM(25, 12) = 25 × 12
Since the GCF of 25 and 12 = 1
⇒ 1 × LCM(25, 12) = 300
Therefore, LCM = 300
☛ Greatest Common Factor Calculator

What is the Relation Between LCM and GCF of 12, 25?

The following equation can be used to express the relation between Least Common Multiple and GCF of 12 and 25, i.e. GCF × LCM = 12 × 25.