Greatest Common Factor of 8664 and 8666

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, 8666 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8664 and 8666 is 2.

GCF(8664,8666) = 2

GCF of 8664 and 8666

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

GCF of:
and

Greatest Common Factor of 8664 and 8666

GCF of 8664 and 8666 is 2

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 8666


2 8666
7 4333
619 619
1

Prime factors of 8666 are 2,7,619. Prime factorization of 8666 in exponential form is:

8666 = 21×71×6191

∴ So by taking common prime factors GCF of 8664 and 8666 is 2

Greatest Common Factor of 8664 and 8666 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 8666

List of positive integer factors of 8666 that divides 8666 without a remainder.

1,2,7,14,619,1238,4333,8666

Greatest Common Factor

We found the factors and prime factorization of 8664 and 8666. The biggest common factor number is the GCF number.
So the greatest common factor 8664 and 8666 is 2.

Also check out the Least Common Multiple of 8664 and 8666

Properties of GCF 8664 and 8666

(i) The GCF of 8664 and 8666 is associative

GCF of 8664 and 8666 = GCF of 8666 and 8664

Related Greatest Common Factor of 8664

Related Greatest Common Factor of 8666

Frequently Asked Questions on GCF of 8664 and 8666

1. What is the GCF of 8664 and 8666?

Answer: GCF of 8664 and 8666 is 2.

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 8666?

Answer: Factors of 8666 are 1, 2, 7, 14, 619, 1238, 4333, 8666. There are 8 integers that are factors of 8666. The greatest factor of 8666 is 8666.

4. How to Find the GCF of 8664 and 8666?

Answer:

Greatest Common Factor of 8664 and 8666 = 2

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 8666

8666 = 2 x 7 x 619

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 8664 and 8666 is 2