Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6, 15 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6 and 15 is 3.
GCF(6,15) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6
2 | 6 |
3 | 3 |
1 |
Prime factors of 6 are 2,3. Prime factorization of 6 in exponential form is:
6 = 21×31
Prime Factorization of 15
3 | 15 |
5 | 5 |
1 |
Prime factors of 15 are 3,5. Prime factorization of 15 in exponential form is:
15 = 31×51
∴ So by taking common prime factors GCF of 6 and 15 is 3
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Greatest Common Factor
We found the factors and prime factorization of 6 and 15. The biggest common factor number is the GCF number.
So the greatest common factor 6 and 15 is 3.
Also check out the Least Common Multiple of 6 and 15
(i) The GCF of 6 and 15 is associative
GCF of 6 and 15 = GCF of 15 and 6
1. What is the GCF of 6 and 15?
Answer: GCF of 6 and 15 is 3.
2. What are the Factors of 6?
Answer: Factors of 6 are 1, 2, 3, 6. There are 4 integers that are factors of 6. The greatest factor of 6 is 6.
3. What are the Factors of 15?
Answer: Factors of 15 are 1, 3, 5, 15. There are 4 integers that are factors of 15. The greatest factor of 15 is 15.
4. How to Find the GCF of 6 and 15?
Answer:
Greatest Common Factor of 6 and 15 = 3
Step 1: Find the prime factorization of 6
6 = 2 x 3
Step 2: Find the prime factorization of 15
15 = 3 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 6 and 15 is 3