Greatest Common Factor of 2632 and 2639

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 2632, 2639 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2632 and 2639 is 7.

GCF(2632,2639) = 7

GCF of 2632 and 2639

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

GCF of:
and

Greatest Common Factor of 2632 and 2639

GCF of 2632 and 2639 is 7

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

Prime Factorization of 2639


7 2639
13 377
29 29
1

Prime factors of 2639 are 7,13,29. Prime factorization of 2639 in exponential form is:

2639 = 71×131×291

∴ So by taking common prime factors GCF of 2632 and 2639 is 7

Greatest Common Factor of 2632 and 2639 by matching factors method

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

Factors of 2639

List of positive integer factors of 2639 that divides 2639 without a remainder.

1,7,13,29,91,203,377,2639

Greatest Common Factor

We found the factors and prime factorization of 2632 and 2639. The biggest common factor number is the GCF number.
So the greatest common factor 2632 and 2639 is 7.

Also check out the Least Common Multiple of 2632 and 2639

Properties of GCF 2632 and 2639

(i) The GCF of 2632 and 2639 is associative

GCF of 2632 and 2639 = GCF of 2639 and 2632

Related Greatest Common Factor of 2632

Related Greatest Common Factor of 2639

Frequently Asked Questions on GCF of 2632 and 2639

1. What is the GCF of 2632 and 2639?

Answer: GCF of 2632 and 2639 is 7.

2. 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.

3. What are the Factors of 2639?

Answer: Factors of 2639 are 1, 7, 13, 29, 91, 203, 377, 2639. There are 8 integers that are factors of 2639. The greatest factor of 2639 is 2639.

4. How to Find the GCF of 2632 and 2639?

Answer:

Greatest Common Factor of 2632 and 2639 = 7

Step 1: Find the prime factorization of 2632

2632 = 2 x 2 x 2 x 7 x 47

Step 2: Find the prime factorization of 2639

2639 = 7 x 13 x 29

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2632 and 2639 is 7