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 6572, 6578 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6572 and 6578 is 2.
GCF(6572,6578) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6572
2 | 6572 |
2 | 3286 |
31 | 1643 |
53 | 53 |
1 |
Prime factors of 6572 are 2,31,53. Prime factorization of 6572 in exponential form is:
6572 = 22×311×531
Prime Factorization of 6578
2 | 6578 |
11 | 3289 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 6578 are 2,11,13,23. Prime factorization of 6578 in exponential form is:
6578 = 21×111×131×231
∴ So by taking common prime factors GCF of 6572 and 6578 is 2
Factors of 6572
List of positive integer factors of 6572 that divides 6572 without a remainder.
1,2,4,31,53,62,106,124,212,1643,3286,6572
Factors of 6578
List of positive integer factors of 6578 that divides 6578 without a remainder.
1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578
Greatest Common Factor
We found the factors and prime factorization of 6572 and 6578. The biggest common factor number is the GCF number.
So the greatest common factor 6572 and 6578 is 2.
Also check out the Least Common Multiple of 6572 and 6578
(i) The GCF of 6572 and 6578 is associative
GCF of 6572 and 6578 = GCF of 6578 and 6572
1. What is the GCF of 6572 and 6578?
Answer: GCF of 6572 and 6578 is 2.
2. What are the Factors of 6572?
Answer: Factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572. There are 12 integers that are factors of 6572. The greatest factor of 6572 is 6572.
3. What are the Factors of 6578?
Answer: Factors of 6578 are 1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578. There are 16 integers that are factors of 6578. The greatest factor of 6578 is 6578.
4. How to Find the GCF of 6572 and 6578?
Answer:
Greatest Common Factor of 6572 and 6578 = 2
Step 1: Find the prime factorization of 6572
6572 = 2 x 2 x 31 x 53
Step 2: Find the prime factorization of 6578
6578 = 2 x 11 x 13 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6572 and 6578 is 2