Greatest Common Factor of 7656 and 7664

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, 7664 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7656 and 7664 is 8.

GCF(7656,7664) = 8

GCF of 7656 and 7664

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7656 and 7664

GCF of 7656 and 7664 is 8

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 7664


2 7664
2 3832
2 1916
2 958
479 479
1

Prime factors of 7664 are 2,479. Prime factorization of 7664 in exponential form is:

7664 = 24×4791

∴ So by taking common prime factors GCF of 7656 and 7664 is 8

Greatest Common Factor of 7656 and 7664 by matching factors method

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 7664

List of positive integer factors of 7664 that divides 7664 without a remainder.

1,2,4,8,16,479,958,1916,3832,7664

Greatest Common Factor

We found the factors and prime factorization of 7656 and 7664. The biggest common factor number is the GCF number.
So the greatest common factor 7656 and 7664 is 8.

Also check out the Least Common Multiple of 7656 and 7664

Properties of GCF 7656 and 7664

(i) The GCF of 7656 and 7664 is associative

GCF of 7656 and 7664 = GCF of 7664 and 7656

Related Greatest Common Factor of 7656

Related Greatest Common Factor of 7664

Frequently Asked Questions on GCF of 7656 and 7664

1. What is the GCF of 7656 and 7664?

Answer: GCF of 7656 and 7664 is 8.

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 7664?

Answer: Factors of 7664 are 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664. There are 10 integers that are factors of 7664. The greatest factor of 7664 is 7664.

4. How to Find the GCF of 7656 and 7664?

Answer:

Greatest Common Factor of 7656 and 7664 = 8

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 7664

7664 = 2 x 2 x 2 x 2 x 479

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7656 and 7664 is 8