Greatest Common Factor of 7629 and 7632

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 7629, 7632 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7629 and 7632 is 3.

GCF(7629,7632) = 3

GCF of 7629 and 7632

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

GCF of:
and

Greatest Common Factor of 7629 and 7632

GCF of 7629 and 7632 is 3

Prime Factorization of 7629


3 7629
2543 2543
1

Prime factors of 7629 are 3,2543. Prime factorization of 7629 in exponential form is:

7629 = 31×25431

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

∴ So by taking common prime factors GCF of 7629 and 7632 is 3

Greatest Common Factor of 7629 and 7632 by matching factors method

Factors of 7629

List of positive integer factors of 7629 that divides 7629 without a remainder.

1,3,2543,7629

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

Greatest Common Factor

We found the factors and prime factorization of 7629 and 7632. The biggest common factor number is the GCF number.
So the greatest common factor 7629 and 7632 is 3.

Also check out the Least Common Multiple of 7629 and 7632

Properties of GCF 7629 and 7632

(i) The GCF of 7629 and 7632 is associative

GCF of 7629 and 7632 = GCF of 7632 and 7629

Related Greatest Common Factor of 7629

Related Greatest Common Factor of 7632

Frequently Asked Questions on GCF of 7629 and 7632

1. What is the GCF of 7629 and 7632?

Answer: GCF of 7629 and 7632 is 3.

2. What are the Factors of 7629?

Answer: Factors of 7629 are 1, 3, 2543, 7629. There are 4 integers that are factors of 7629. The greatest factor of 7629 is 7629.

3. 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.

4. How to Find the GCF of 7629 and 7632?

Answer:

Greatest Common Factor of 7629 and 7632 = 3

Step 1: Find the prime factorization of 7629

7629 = 3 x 2543

Step 2: Find the prime factorization of 7632

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

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7629 and 7632 is 3