Greatest Common Factor of 8664 and 8667

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 8664, 8667 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8664 and 8667 is 3.

GCF(8664,8667) = 3

GCF of 8664 and 8667

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

GCF of:
and

Greatest Common Factor of 8664 and 8667

GCF of 8664 and 8667 is 3

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

Prime Factorization of 8667


3 8667
3 2889
3 963
3 321
107 107
1

Prime factors of 8667 are 3,107. Prime factorization of 8667 in exponential form is:

8667 = 34×1071

∴ So by taking common prime factors GCF of 8664 and 8667 is 3

Greatest Common Factor of 8664 and 8667 by matching factors method

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

Factors of 8667

List of positive integer factors of 8667 that divides 8667 without a remainder.

1,3,9,27,81,107,321,963,2889,8667

Greatest Common Factor

We found the factors and prime factorization of 8664 and 8667. The biggest common factor number is the GCF number.
So the greatest common factor 8664 and 8667 is 3.

Also check out the Least Common Multiple of 8664 and 8667

Properties of GCF 8664 and 8667

(i) The GCF of 8664 and 8667 is associative

GCF of 8664 and 8667 = GCF of 8667 and 8664

Related Greatest Common Factor of 8664

Related Greatest Common Factor of 8667

Frequently Asked Questions on GCF of 8664 and 8667

1. What is the GCF of 8664 and 8667?

Answer: GCF of 8664 and 8667 is 3.

2. 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.

3. What are the Factors of 8667?

Answer: Factors of 8667 are 1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667. There are 10 integers that are factors of 8667. The greatest factor of 8667 is 8667.

4. How to Find the GCF of 8664 and 8667?

Answer:

Greatest Common Factor of 8664 and 8667 = 3

Step 1: Find the prime factorization of 8664

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

Step 2: Find the prime factorization of 8667

8667 = 3 x 3 x 3 x 3 x 107

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8664 and 8667 is 3