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 6712, 6717 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6712 and 6717 is 1.
GCF(6712,6717) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6712
2 | 6712 |
2 | 3356 |
2 | 1678 |
839 | 839 |
1 |
Prime factors of 6712 are 2,839. Prime factorization of 6712 in exponential form is:
6712 = 23×8391
Prime Factorization of 6717
3 | 6717 |
2239 | 2239 |
1 |
Prime factors of 6717 are 3,2239. Prime factorization of 6717 in exponential form is:
6717 = 31×22391
∴ So by taking common prime factors GCF of 6712 and 6717 is 1
Factors of 6712
List of positive integer factors of 6712 that divides 6712 without a remainder.
1,2,4,8,839,1678,3356,6712
Factors of 6717
List of positive integer factors of 6717 that divides 6717 without a remainder.
1,3,2239,6717
Greatest Common Factor
We found the factors and prime factorization of 6712 and 6717. The biggest common factor number is the GCF number.
So the greatest common factor 6712 and 6717 is 1.
Also check out the Least Common Multiple of 6712 and 6717
(i) The GCF of 6712 and 6717 is associative
GCF of 6712 and 6717 = GCF of 6717 and 6712
1. What is the GCF of 6712 and 6717?
Answer: GCF of 6712 and 6717 is 1.
2. What are the Factors of 6712?
Answer: Factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712. There are 8 integers that are factors of 6712. The greatest factor of 6712 is 6712.
3. What are the Factors of 6717?
Answer: Factors of 6717 are 1, 3, 2239, 6717. There are 4 integers that are factors of 6717. The greatest factor of 6717 is 6717.
4. How to Find the GCF of 6712 and 6717?
Answer:
Greatest Common Factor of 6712 and 6717 = 1
Step 1: Find the prime factorization of 6712
6712 = 2 x 2 x 2 x 839
Step 2: Find the prime factorization of 6717
6717 = 3 x 2239
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 6712 and 6717 is 1