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, 6716 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6712 and 6716 is 4.
GCF(6712,6716) = 4
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 6716
2 | 6716 |
2 | 3358 |
23 | 1679 |
73 | 73 |
1 |
Prime factors of 6716 are 2,23,73. Prime factorization of 6716 in exponential form is:
6716 = 22×231×731
∴ So by taking common prime factors GCF of 6712 and 6716 is 4
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 6716
List of positive integer factors of 6716 that divides 6716 without a remainder.
1,2,4,23,46,73,92,146,292,1679,3358,6716
Greatest Common Factor
We found the factors and prime factorization of 6712 and 6716. The biggest common factor number is the GCF number.
So the greatest common factor 6712 and 6716 is 4.
Also check out the Least Common Multiple of 6712 and 6716
(i) The GCF of 6712 and 6716 is associative
GCF of 6712 and 6716 = GCF of 6716 and 6712
1. What is the GCF of 6712 and 6716?
Answer: GCF of 6712 and 6716 is 4.
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 6716?
Answer: Factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716. There are 12 integers that are factors of 6716. The greatest factor of 6716 is 6716.
4. How to Find the GCF of 6712 and 6716?
Answer:
Greatest Common Factor of 6712 and 6716 = 4
Step 1: Find the prime factorization of 6712
6712 = 2 x 2 x 2 x 839
Step 2: Find the prime factorization of 6716
6716 = 2 x 2 x 23 x 73
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 6712 and 6716 is 4