Greatest Common Factor of 2632 and 2638

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, 2638 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2632 and 2638 is 2.

GCF(2632,2638) = 2

GCF of 2632 and 2638

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

GCF of:
and

Greatest Common Factor of 2632 and 2638

GCF of 2632 and 2638 is 2

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 2638


2 2638
1319 1319
1

Prime factors of 2638 are 2,1319. Prime factorization of 2638 in exponential form is:

2638 = 21×13191

∴ So by taking common prime factors GCF of 2632 and 2638 is 2

Greatest Common Factor of 2632 and 2638 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 2638

List of positive integer factors of 2638 that divides 2638 without a remainder.

1,2,1319,2638

Greatest Common Factor

We found the factors and prime factorization of 2632 and 2638. The biggest common factor number is the GCF number.
So the greatest common factor 2632 and 2638 is 2.

Also check out the Least Common Multiple of 2632 and 2638

Properties of GCF 2632 and 2638

(i) The GCF of 2632 and 2638 is associative

GCF of 2632 and 2638 = GCF of 2638 and 2632

Related Greatest Common Factor of 2632

Related Greatest Common Factor of 2638

Frequently Asked Questions on GCF of 2632 and 2638

1. What is the GCF of 2632 and 2638?

Answer: GCF of 2632 and 2638 is 2.

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 2638?

Answer: Factors of 2638 are 1, 2, 1319, 2638. There are 4 integers that are factors of 2638. The greatest factor of 2638 is 2638.

4. How to Find the GCF of 2632 and 2638?

Answer:

Greatest Common Factor of 2632 and 2638 = 2

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 2638

2638 = 2 x 1319

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 2632 and 2638 is 2