Greatest Common Factor of 2612 and 2620

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, 2620 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2612 and 2620 is 4.

GCF(2612,2620) = 4

GCF of 2612 and 2620

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

GCF of:
and

Greatest Common Factor of 2612 and 2620

GCF of 2612 and 2620 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 2620


2 2620
2 1310
5 655
131 131
1

Prime factors of 2620 are 2,5,131. Prime factorization of 2620 in exponential form is:

2620 = 22×51×1311

∴ So by taking common prime factors GCF of 2612 and 2620 is 4

Greatest Common Factor of 2612 and 2620 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 2620

List of positive integer factors of 2620 that divides 2620 without a remainder.

1,2,4,5,10,20,131,262,524,655,1310,2620

Greatest Common Factor

We found the factors and prime factorization of 2612 and 2620. The biggest common factor number is the GCF number.
So the greatest common factor 2612 and 2620 is 4.

Also check out the Least Common Multiple of 2612 and 2620

Properties of GCF 2612 and 2620

(i) The GCF of 2612 and 2620 is associative

GCF of 2612 and 2620 = GCF of 2620 and 2612

Related Greatest Common Factor of 2612

Related Greatest Common Factor of 2620

Frequently Asked Questions on GCF of 2612 and 2620

1. What is the GCF of 2612 and 2620?

Answer: GCF of 2612 and 2620 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 2620?

Answer: Factors of 2620 are 1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620. There are 12 integers that are factors of 2620. The greatest factor of 2620 is 2620.

4. How to Find the GCF of 2612 and 2620?

Answer:

Greatest Common Factor of 2612 and 2620 = 4

Step 1: Find the prime factorization of 2612

2612 = 2 x 2 x 653

Step 2: Find the prime factorization of 2620

2620 = 2 x 2 x 5 x 131

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 2620 is 4