Greatest Common Factor of 7632 and 7636

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, 7636 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7632 and 7636 is 4.

GCF(7632,7636) = 4

GCF of 7632 and 7636

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

GCF of:
and

Greatest Common Factor of 7632 and 7636

GCF of 7632 and 7636 is 4

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 7636


2 7636
2 3818
23 1909
83 83
1

Prime factors of 7636 are 2,23,83. Prime factorization of 7636 in exponential form is:

7636 = 22×231×831

∴ So by taking common prime factors GCF of 7632 and 7636 is 4

Greatest Common Factor of 7632 and 7636 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 7636

List of positive integer factors of 7636 that divides 7636 without a remainder.

1,2,4,23,46,83,92,166,332,1909,3818,7636

Greatest Common Factor

We found the factors and prime factorization of 7632 and 7636. The biggest common factor number is the GCF number.
So the greatest common factor 7632 and 7636 is 4.

Also check out the Least Common Multiple of 7632 and 7636

Properties of GCF 7632 and 7636

(i) The GCF of 7632 and 7636 is associative

GCF of 7632 and 7636 = GCF of 7636 and 7632

Related Greatest Common Factor of 7632

Related Greatest Common Factor of 7636

Frequently Asked Questions on GCF of 7632 and 7636

1. What is the GCF of 7632 and 7636?

Answer: GCF of 7632 and 7636 is 4.

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 7636?

Answer: Factors of 7636 are 1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818, 7636. There are 12 integers that are factors of 7636. The greatest factor of 7636 is 7636.

4. How to Find the GCF of 7632 and 7636?

Answer:

Greatest Common Factor of 7632 and 7636 = 4

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 7636

7636 = 2 x 2 x 23 x 83

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7632 and 7636 is 4