Greatest Common Factor of 8622 and 8628

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 8622, 8628 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8622 and 8628 is 6.

GCF(8622,8628) = 6

GCF of 8622 and 8628

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

GCF of:
and

Greatest Common Factor of 8622 and 8628

GCF of 8622 and 8628 is 6

Prime Factorization of 8622


2 8622
3 4311
3 1437
479 479
1

Prime factors of 8622 are 2,3,479. Prime factorization of 8622 in exponential form is:

8622 = 21×32×4791

Prime Factorization of 8628


2 8628
2 4314
3 2157
719 719
1

Prime factors of 8628 are 2,3,719. Prime factorization of 8628 in exponential form is:

8628 = 22×31×7191

∴ So by taking common prime factors GCF of 8622 and 8628 is 6

Greatest Common Factor of 8622 and 8628 by matching factors method

Factors of 8622

List of positive integer factors of 8622 that divides 8622 without a remainder.

1,2,3,6,9,18,479,958,1437,2874,4311,8622

Factors of 8628

List of positive integer factors of 8628 that divides 8628 without a remainder.

1,2,3,4,6,12,719,1438,2157,2876,4314,8628

Greatest Common Factor

We found the factors and prime factorization of 8622 and 8628. The biggest common factor number is the GCF number.
So the greatest common factor 8622 and 8628 is 6.

Also check out the Least Common Multiple of 8622 and 8628

Properties of GCF 8622 and 8628

(i) The GCF of 8622 and 8628 is associative

GCF of 8622 and 8628 = GCF of 8628 and 8622

Related Greatest Common Factor of 8622

Related Greatest Common Factor of 8628

Frequently Asked Questions on GCF of 8622 and 8628

1. What is the GCF of 8622 and 8628?

Answer: GCF of 8622 and 8628 is 6.

2. What are the Factors of 8622?

Answer: Factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622. There are 12 integers that are factors of 8622. The greatest factor of 8622 is 8622.

3. What are the Factors of 8628?

Answer: Factors of 8628 are 1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628. There are 12 integers that are factors of 8628. The greatest factor of 8628 is 8628.

4. How to Find the GCF of 8622 and 8628?

Answer:

Greatest Common Factor of 8622 and 8628 = 6

Step 1: Find the prime factorization of 8622

8622 = 2 x 3 x 3 x 479

Step 2: Find the prime factorization of 8628

8628 = 2 x 2 x 3 x 719

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 8622 and 8628 is 6