Greatest Common Factor of 7632 and 7640

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 7632, 7640 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7632 and 7640 is 8.

GCF(7632,7640) = 8

GCF of 7632 and 7640

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

GCF of:
and

Greatest Common Factor of 7632 and 7640

GCF of 7632 and 7640 is 8

Prime Factorization of 7632


2 7632
2 3816
2 1908
2 954
3 477
3 159
53 53
1

Prime factors of 7632 are 2,3,53. Prime factorization of 7632 in exponential form is:

7632 = 24×32×531

Prime Factorization of 7640


2 7640
2 3820
2 1910
5 955
191 191
1

Prime factors of 7640 are 2,5,191. Prime factorization of 7640 in exponential form is:

7640 = 23×51×1911

∴ So by taking common prime factors GCF of 7632 and 7640 is 8

Greatest Common Factor of 7632 and 7640 by matching factors method

Factors of 7632

List of positive integer factors of 7632 that divides 7632 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,53,72,106,144,159,212,318,424,477,636,848,954,1272,1908,2544,3816,7632

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Greatest Common Factor

We found the factors and prime factorization of 7632 and 7640. The biggest common factor number is the GCF number.
So the greatest common factor 7632 and 7640 is 8.

Also check out the Least Common Multiple of 7632 and 7640

Properties of GCF 7632 and 7640

(i) The GCF of 7632 and 7640 is associative

GCF of 7632 and 7640 = GCF of 7640 and 7632

Related Greatest Common Factor of 7632

Related Greatest Common Factor of 7640

Frequently Asked Questions on GCF of 7632 and 7640

1. What is the GCF of 7632 and 7640?

Answer: GCF of 7632 and 7640 is 8.

2. What are the Factors of 7632?

Answer: Factors of 7632 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 53, 72, 106, 144, 159, 212, 318, 424, 477, 636, 848, 954, 1272, 1908, 2544, 3816, 7632. There are 30 integers that are factors of 7632. The greatest factor of 7632 is 7632.

3. What are the Factors of 7640?

Answer: Factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640. There are 16 integers that are factors of 7640. The greatest factor of 7640 is 7640.

4. How to Find the GCF of 7632 and 7640?

Answer:

Greatest Common Factor of 7632 and 7640 = 8

Step 1: Find the prime factorization of 7632

7632 = 2 x 2 x 2 x 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 7640

7640 = 2 x 2 x 2 x 5 x 191

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 7632 and 7640 is 8