Greatest Common Factor of 2632 and 2640

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, 2640 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2632 and 2640 is 8.

GCF(2632,2640) = 8

GCF of 2632 and 2640

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

GCF of:
and

Greatest Common Factor of 2632 and 2640

GCF of 2632 and 2640 is 8

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 2640


2 2640
2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 2640 are 2,3,5,11. Prime factorization of 2640 in exponential form is:

2640 = 24×31×51×111

∴ So by taking common prime factors GCF of 2632 and 2640 is 8

Greatest Common Factor of 2632 and 2640 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 2640

List of positive integer factors of 2640 that divides 2640 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640

Greatest Common Factor

We found the factors and prime factorization of 2632 and 2640. The biggest common factor number is the GCF number.
So the greatest common factor 2632 and 2640 is 8.

Also check out the Least Common Multiple of 2632 and 2640

Properties of GCF 2632 and 2640

(i) The GCF of 2632 and 2640 is associative

GCF of 2632 and 2640 = GCF of 2640 and 2632

Related Greatest Common Factor of 2632

Related Greatest Common Factor of 2640

Frequently Asked Questions on GCF of 2632 and 2640

1. What is the GCF of 2632 and 2640?

Answer: GCF of 2632 and 2640 is 8.

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 2640?

Answer: Factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640. There are 40 integers that are factors of 2640. The greatest factor of 2640 is 2640.

4. How to Find the GCF of 2632 and 2640?

Answer:

Greatest Common Factor of 2632 and 2640 = 8

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 2640

2640 = 2 x 2 x 2 x 2 x 3 x 5 x 11

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 2632 and 2640 is 8