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 6708, 6712 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6708 and 6712 is 4.
GCF(6708,6712) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6708
2 | 6708 |
2 | 3354 |
3 | 1677 |
13 | 559 |
43 | 43 |
1 |
Prime factors of 6708 are 2,3,13,43. Prime factorization of 6708 in exponential form is:
6708 = 22×31×131×431
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
∴ So by taking common prime factors GCF of 6708 and 6712 is 4
Factors of 6708
List of positive integer factors of 6708 that divides 6708 without a remainder.
1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708
Factors of 6712
List of positive integer factors of 6712 that divides 6712 without a remainder.
1,2,4,8,839,1678,3356,6712
Greatest Common Factor
We found the factors and prime factorization of 6708 and 6712. The biggest common factor number is the GCF number.
So the greatest common factor 6708 and 6712 is 4.
Also check out the Least Common Multiple of 6708 and 6712
(i) The GCF of 6708 and 6712 is associative
GCF of 6708 and 6712 = GCF of 6712 and 6708
1. What is the GCF of 6708 and 6712?
Answer: GCF of 6708 and 6712 is 4.
2. What are the Factors of 6708?
Answer: Factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708. There are 24 integers that are factors of 6708. The greatest factor of 6708 is 6708.
3. 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.
4. How to Find the GCF of 6708 and 6712?
Answer:
Greatest Common Factor of 6708 and 6712 = 4
Step 1: Find the prime factorization of 6708
6708 = 2 x 2 x 3 x 13 x 43
Step 2: Find the prime factorization of 6712
6712 = 2 x 2 x 2 x 839
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 6708 and 6712 is 4