Greatest Common Factor of 2624 and 2626

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 2624, 2626 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2624 and 2626 is 2.

GCF(2624,2626) = 2

GCF of 2624 and 2626

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

GCF of:
and

Greatest Common Factor of 2624 and 2626

GCF of 2624 and 2626 is 2

Prime Factorization of 2624


2 2624
2 1312
2 656
2 328
2 164
2 82
41 41
1

Prime factors of 2624 are 2,41. Prime factorization of 2624 in exponential form is:

2624 = 26×411

Prime Factorization of 2626


2 2626
13 1313
101 101
1

Prime factors of 2626 are 2,13,101. Prime factorization of 2626 in exponential form is:

2626 = 21×131×1011

∴ So by taking common prime factors GCF of 2624 and 2626 is 2

Greatest Common Factor of 2624 and 2626 by matching factors method

Factors of 2624

List of positive integer factors of 2624 that divides 2624 without a remainder.

1,2,4,8,16,32,41,64,82,164,328,656,1312,2624

Factors of 2626

List of positive integer factors of 2626 that divides 2626 without a remainder.

1,2,13,26,101,202,1313,2626

Greatest Common Factor

We found the factors and prime factorization of 2624 and 2626. The biggest common factor number is the GCF number.
So the greatest common factor 2624 and 2626 is 2.

Also check out the Least Common Multiple of 2624 and 2626

Properties of GCF 2624 and 2626

(i) The GCF of 2624 and 2626 is associative

GCF of 2624 and 2626 = GCF of 2626 and 2624

Related Greatest Common Factor of 2624

Related Greatest Common Factor of 2626

Frequently Asked Questions on GCF of 2624 and 2626

1. What is the GCF of 2624 and 2626?

Answer: GCF of 2624 and 2626 is 2.

2. What are the Factors of 2624?

Answer: Factors of 2624 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624. There are 14 integers that are factors of 2624. The greatest factor of 2624 is 2624.

3. What are the Factors of 2626?

Answer: Factors of 2626 are 1, 2, 13, 26, 101, 202, 1313, 2626. There are 8 integers that are factors of 2626. The greatest factor of 2626 is 2626.

4. How to Find the GCF of 2624 and 2626?

Answer:

Greatest Common Factor of 2624 and 2626 = 2

Step 1: Find the prime factorization of 2624

2624 = 2 x 2 x 2 x 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 2626

2626 = 2 x 13 x 101

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2624 and 2626 is 2