Greatest Common Factor of 8656 and 8664

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 8656, 8664 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8656 and 8664 is 8.

GCF(8656,8664) = 8

GCF of 8656 and 8664

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

GCF of:
and

Greatest Common Factor of 8656 and 8664

GCF of 8656 and 8664 is 8

Prime Factorization of 8656


2 8656
2 4328
2 2164
2 1082
541 541
1

Prime factors of 8656 are 2,541. Prime factorization of 8656 in exponential form is:

8656 = 24×5411

Prime Factorization of 8664


2 8664
2 4332
2 2166
3 1083
19 361
19 19
1

Prime factors of 8664 are 2,3,19. Prime factorization of 8664 in exponential form is:

8664 = 23×31×192

∴ So by taking common prime factors GCF of 8656 and 8664 is 8

Greatest Common Factor of 8656 and 8664 by matching factors method

Factors of 8656

List of positive integer factors of 8656 that divides 8656 without a remainder.

1,2,4,8,16,541,1082,2164,4328,8656

Factors of 8664

List of positive integer factors of 8664 that divides 8664 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664

Greatest Common Factor

We found the factors and prime factorization of 8656 and 8664. The biggest common factor number is the GCF number.
So the greatest common factor 8656 and 8664 is 8.

Also check out the Least Common Multiple of 8656 and 8664

Properties of GCF 8656 and 8664

(i) The GCF of 8656 and 8664 is associative

GCF of 8656 and 8664 = GCF of 8664 and 8656

Related Greatest Common Factor of 8656

Related Greatest Common Factor of 8664

Frequently Asked Questions on GCF of 8656 and 8664

1. What is the GCF of 8656 and 8664?

Answer: GCF of 8656 and 8664 is 8.

2. What are the Factors of 8656?

Answer: Factors of 8656 are 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656. There are 10 integers that are factors of 8656. The greatest factor of 8656 is 8656.

3. What are the Factors of 8664?

Answer: Factors of 8664 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664. There are 24 integers that are factors of 8664. The greatest factor of 8664 is 8664.

4. How to Find the GCF of 8656 and 8664?

Answer:

Greatest Common Factor of 8656 and 8664 = 8

Step 1: Find the prime factorization of 8656

8656 = 2 x 2 x 2 x 2 x 541

Step 2: Find the prime factorization of 8664

8664 = 2 x 2 x 2 x 3 x 19 x 19

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 8656 and 8664 is 8