GCF of 5 and 15 is the largest possible number that divides 5 and 15 exactly without any remainder. The factors of 5 and 15 are 1, 5 and 1, 3, 5, 15 respectively. There are 3 commonly used methods to find the GCF of 5 and 15 - long division, prime factorization, and Euclidean algorithm.
| 1. | GCF of 5 and 15 |
| 2. | List of Methods |
| 3. | Solved Examples |
| 4. | FAQs |
What is GCF of 5 and 15?
Answer: GCF of 5 and 15 is 5.
Explanation:
The GCF of two non-zero integers, x(5) and y(15), is the greatest positive integer m(5) that divides both x(5) and y(15) without any remainder.
Methods to Find GCF of 5 and 15
The methods to find the GCF of 5 and 15 are explained below.
- Prime Factorization Method
- Listing Common Factors
- Long Division Method
GCF of 5 and 15 by Prime Factorization
Prime factorization of 5 and 15 is (5) and (3 × 5) respectively. As visible, 5 and 15 have only one common prime factor i.e. 5. Hence, the GCF of 5 and 15 is 5.
GCF of 5 and 15 by Listing Common Factors
- Factors of 5: 1, 5
- Factors of 15: 1, 3, 5, 15
There are 2 common factors of 5 and 15, that are 1 and 5. Therefore, the greatest common factor of 5 and 15 is 5.
GCF of 5 and 15 by Long Division
GCF of 5 and 15 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
- Step 1: Divide 15 (larger number) by 5 (smaller number).
- Step 2: Since the remainder = 0, the divisor (5) is the GCF of 5 and 15.
The corresponding divisor (5) is the GCF of 5 and 15.
☛ Also Check:
- GCF of 50 and 100 = 50
- GCF of 27 and 48 = 3
- GCF of 72 and 120 = 24
- GCF of 36 and 96 = 12
- GCF of 54 and 72 = 18
- GCF of 21 and 30 = 3
- GCF of 24 and 45 = 3
FAQs on GCF of 5 and 15
What is the GCF of 5 and 15?
The GCF of 5 and 15 is 5. To calculate the GCF of 5 and 15, we need to factor each number (factors of 5 = 1, 5; factors of 15 = 1, 3, 5, 15) and choose the greatest factor that exactly divides both 5 and 15, i.e., 5.
How to Find the GCF of 5 and 15 by Long Division Method?
To find the GCF of 5, 15 using long division method, 15 is divided by 5. The corresponding divisor (5) when remainder equals 0 is taken as GCF.
How to Find the GCF of 5 and 15 by Prime Factorization?
To find the GCF of 5 and 15, we will find the prime factorization of the given numbers, i.e. 5 = 5; 15 = 3 × 5.
⇒ Since 5 is the only common prime factor of 5 and 15. Hence, GCF (5, 15) = 5.
☛ Prime Number
If the GCF of 15 and 5 is 5, Find its LCM.
GCF(15, 5) × LCM(15, 5) = 15 × 5
Since the GCF of 15 and 5 = 5
⇒ 5 × LCM(15, 5) = 75
Therefore, LCM = 15
☛ Greatest Common Factor Calculator
What are the Methods to Find GCF of 5 and 15?
There are three commonly used methods to find the GCF of 5 and 15.
- By Long Division
- By Listing Common Factors
- By Prime Factorization
What is the Relation Between LCM and GCF of 5, 15?
The following equation can be used to express the relation between LCM (Least Common Multiple) and GCF of 5 and 15, i.e. GCF × LCM = 5 × 15.
