Greatest Common Factor of 8616 and 8620

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, 8620 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8616 and 8620 is 4.

GCF(8616,8620) = 4

GCF of 8616 and 8620

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

GCF of:
and

Greatest Common Factor of 8616 and 8620

GCF of 8616 and 8620 is 4

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 8620


2 8620
2 4310
5 2155
431 431
1

Prime factors of 8620 are 2,5,431. Prime factorization of 8620 in exponential form is:

8620 = 22×51×4311

∴ So by taking common prime factors GCF of 8616 and 8620 is 4

Greatest Common Factor of 8616 and 8620 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 8620

List of positive integer factors of 8620 that divides 8620 without a remainder.

1,2,4,5,10,20,431,862,1724,2155,4310,8620

Greatest Common Factor

We found the factors and prime factorization of 8616 and 8620. The biggest common factor number is the GCF number.
So the greatest common factor 8616 and 8620 is 4.

Also check out the Least Common Multiple of 8616 and 8620

Properties of GCF 8616 and 8620

(i) The GCF of 8616 and 8620 is associative

GCF of 8616 and 8620 = GCF of 8620 and 8616

Related Greatest Common Factor of 8616

Related Greatest Common Factor of 8620

Frequently Asked Questions on GCF of 8616 and 8620

1. What is the GCF of 8616 and 8620?

Answer: GCF of 8616 and 8620 is 4.

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 8620?

Answer: Factors of 8620 are 1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310, 8620. There are 12 integers that are factors of 8620. The greatest factor of 8620 is 8620.

4. How to Find the GCF of 8616 and 8620?

Answer:

Greatest Common Factor of 8616 and 8620 = 4

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 8620

8620 = 2 x 2 x 5 x 431

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8616 and 8620 is 4