Greatest Common Factor of 2612 and 2616

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 2612, 2616 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2612 and 2616 is 4.

GCF(2612,2616) = 4

GCF of 2612 and 2616

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

GCF of:
and

Greatest Common Factor of 2612 and 2616

GCF of 2612 and 2616 is 4

Prime Factorization of 2612


2 2612
2 1306
653 653
1

Prime factors of 2612 are 2,653. Prime factorization of 2612 in exponential form is:

2612 = 22×6531

Prime Factorization of 2616


2 2616
2 1308
2 654
3 327
109 109
1

Prime factors of 2616 are 2,3,109. Prime factorization of 2616 in exponential form is:

2616 = 23×31×1091

∴ So by taking common prime factors GCF of 2612 and 2616 is 4

Greatest Common Factor of 2612 and 2616 by matching factors method

Factors of 2612

List of positive integer factors of 2612 that divides 2612 without a remainder.

1,2,4,653,1306,2612

Factors of 2616

List of positive integer factors of 2616 that divides 2616 without a remainder.

1,2,3,4,6,8,12,24,109,218,327,436,654,872,1308,2616

Greatest Common Factor

We found the factors and prime factorization of 2612 and 2616. The biggest common factor number is the GCF number.
So the greatest common factor 2612 and 2616 is 4.

Also check out the Least Common Multiple of 2612 and 2616

Properties of GCF 2612 and 2616

(i) The GCF of 2612 and 2616 is associative

GCF of 2612 and 2616 = GCF of 2616 and 2612

Related Greatest Common Factor of 2612

Related Greatest Common Factor of 2616

Frequently Asked Questions on GCF of 2612 and 2616

1. What is the GCF of 2612 and 2616?

Answer: GCF of 2612 and 2616 is 4.

2. What are the Factors of 2612?

Answer: Factors of 2612 are 1, 2, 4, 653, 1306, 2612. There are 6 integers that are factors of 2612. The greatest factor of 2612 is 2612.

3. What are the Factors of 2616?

Answer: Factors of 2616 are 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616. There are 16 integers that are factors of 2616. The greatest factor of 2616 is 2616.

4. How to Find the GCF of 2612 and 2616?

Answer:

Greatest Common Factor of 2612 and 2616 = 4

Step 1: Find the prime factorization of 2612

2612 = 2 x 2 x 653

Step 2: Find the prime factorization of 2616

2616 = 2 x 2 x 2 x 3 x 109

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 2612 and 2616 is 4