Greatest Common Factor of 2624 and 2632

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, 2632 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2624 and 2632 is 8.

GCF(2624,2632) = 8

GCF of 2624 and 2632

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

GCF of:
and

Greatest Common Factor of 2624 and 2632

GCF of 2624 and 2632 is 8

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 2632


2 2632
2 1316
2 658
7 329
47 47
1

Prime factors of 2632 are 2,7,47. Prime factorization of 2632 in exponential form is:

2632 = 23×71×471

∴ So by taking common prime factors GCF of 2624 and 2632 is 8

Greatest Common Factor of 2624 and 2632 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 2632

List of positive integer factors of 2632 that divides 2632 without a remainder.

1,2,4,7,8,14,28,47,56,94,188,329,376,658,1316,2632

Greatest Common Factor

We found the factors and prime factorization of 2624 and 2632. The biggest common factor number is the GCF number.
So the greatest common factor 2624 and 2632 is 8.

Also check out the Least Common Multiple of 2624 and 2632

Properties of GCF 2624 and 2632

(i) The GCF of 2624 and 2632 is associative

GCF of 2624 and 2632 = GCF of 2632 and 2624

Related Greatest Common Factor of 2624

Related Greatest Common Factor of 2632

Frequently Asked Questions on GCF of 2624 and 2632

1. What is the GCF of 2624 and 2632?

Answer: GCF of 2624 and 2632 is 8.

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 2632?

Answer: Factors of 2632 are 1, 2, 4, 7, 8, 14, 28, 47, 56, 94, 188, 329, 376, 658, 1316, 2632. There are 16 integers that are factors of 2632. The greatest factor of 2632 is 2632.

4. How to Find the GCF of 2624 and 2632?

Answer:

Greatest Common Factor of 2624 and 2632 = 8

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 2632

2632 = 2 x 2 x 2 x 7 x 47

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2624 and 2632 is 8