Greatest Common Factor of 8658 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 8658, 8664 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8658 and 8664 is 6.

GCF(8658,8664) = 6

GCF of 8658 and 8664

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

GCF of:
and

Greatest Common Factor of 8658 and 8664

GCF of 8658 and 8664 is 6

Prime Factorization of 8658


2 8658
3 4329
3 1443
13 481
37 37
1

Prime factors of 8658 are 2,3,13,37. Prime factorization of 8658 in exponential form is:

8658 = 21×32×131×371

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 8658 and 8664 is 6

Greatest Common Factor of 8658 and 8664 by matching factors method

Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658

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 8658 and 8664. The biggest common factor number is the GCF number.
So the greatest common factor 8658 and 8664 is 6.

Also check out the Least Common Multiple of 8658 and 8664

Properties of GCF 8658 and 8664

(i) The GCF of 8658 and 8664 is associative

GCF of 8658 and 8664 = GCF of 8664 and 8658

Related Greatest Common Factor of 8658

Related Greatest Common Factor of 8664

Frequently Asked Questions on GCF of 8658 and 8664

1. What is the GCF of 8658 and 8664?

Answer: GCF of 8658 and 8664 is 6.

2. What are the Factors of 8658?

Answer: Factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658. There are 24 integers that are factors of 8658. The greatest factor of 8658 is 8658.

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 8658 and 8664?

Answer:

Greatest Common Factor of 8658 and 8664 = 6

Step 1: Find the prime factorization of 8658

8658 = 2 x 3 x 3 x 13 x 37

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 3 = 6

Step 4: Therefore, the greatest common factor of 8658 and 8664 is 6