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 7656, 7660 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7656 and 7660 is 4.
GCF(7656,7660) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7656
2 | 7656 |
2 | 3828 |
2 | 1914 |
3 | 957 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 7656 are 2,3,11,29. Prime factorization of 7656 in exponential form is:
7656 = 23×31×111×291
Prime Factorization of 7660
2 | 7660 |
2 | 3830 |
5 | 1915 |
383 | 383 |
1 |
Prime factors of 7660 are 2,5,383. Prime factorization of 7660 in exponential form is:
7660 = 22×51×3831
∴ So by taking common prime factors GCF of 7656 and 7660 is 4
Factors of 7656
List of positive integer factors of 7656 that divides 7656 without a remainder.
1,2,3,4,6,8,11,12,22,24,29,33,44,58,66,87,88,116,132,174,232,264,319,348,638,696,957,1276,1914,2552,3828,7656
Factors of 7660
List of positive integer factors of 7660 that divides 7660 without a remainder.
1,2,4,5,10,20,383,766,1532,1915,3830,7660
Greatest Common Factor
We found the factors and prime factorization of 7656 and 7660. The biggest common factor number is the GCF number.
So the greatest common factor 7656 and 7660 is 4.
Also check out the Least Common Multiple of 7656 and 7660
(i) The GCF of 7656 and 7660 is associative
GCF of 7656 and 7660 = GCF of 7660 and 7656
1. What is the GCF of 7656 and 7660?
Answer: GCF of 7656 and 7660 is 4.
2. What are the Factors of 7656?
Answer: Factors of 7656 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656. There are 32 integers that are factors of 7656. The greatest factor of 7656 is 7656.
3. What are the Factors of 7660?
Answer: Factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660. There are 12 integers that are factors of 7660. The greatest factor of 7660 is 7660.
4. How to Find the GCF of 7656 and 7660?
Answer:
Greatest Common Factor of 7656 and 7660 = 4
Step 1: Find the prime factorization of 7656
7656 = 2 x 2 x 2 x 3 x 11 x 29
Step 2: Find the prime factorization of 7660
7660 = 2 x 2 x 5 x 383
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 7656 and 7660 is 4