Greatest Common Factor of 8616 and 8622

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 8616, 8622 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8616 and 8622 is 6.

GCF(8616,8622) = 6

GCF of 8616 and 8622

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

GCF of:
and

Greatest Common Factor of 8616 and 8622

GCF of 8616 and 8622 is 6

Prime Factorization of 8616


2 8616
2 4308
2 2154
3 1077
359 359
1

Prime factors of 8616 are 2,3,359. Prime factorization of 8616 in exponential form is:

8616 = 23×31×3591

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

∴ So by taking common prime factors GCF of 8616 and 8622 is 6

Greatest Common Factor of 8616 and 8622 by matching factors method

Factors of 8616

List of positive integer factors of 8616 that divides 8616 without a remainder.

1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616

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

Greatest Common Factor

We found the factors and prime factorization of 8616 and 8622. The biggest common factor number is the GCF number.
So the greatest common factor 8616 and 8622 is 6.

Also check out the Least Common Multiple of 8616 and 8622

Properties of GCF 8616 and 8622

(i) The GCF of 8616 and 8622 is associative

GCF of 8616 and 8622 = GCF of 8622 and 8616

Related Greatest Common Factor of 8616

Related Greatest Common Factor of 8622

Frequently Asked Questions on GCF of 8616 and 8622

1. What is the GCF of 8616 and 8622?

Answer: GCF of 8616 and 8622 is 6.

2. What are the Factors of 8616?

Answer: Factors of 8616 are 1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616. There are 16 integers that are factors of 8616. The greatest factor of 8616 is 8616.

3. 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.

4. How to Find the GCF of 8616 and 8622?

Answer:

Greatest Common Factor of 8616 and 8622 = 6

Step 1: Find the prime factorization of 8616

8616 = 2 x 2 x 2 x 3 x 359

Step 2: Find the prime factorization of 8622

8622 = 2 x 3 x 3 x 479

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 8616 and 8622 is 6