Greatest Common Factor of 7624 and 7628

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 7624, 7628 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7624 and 7628 is 4.

GCF(7624,7628) = 4

GCF of 7624 and 7628

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

GCF of:
and

Greatest Common Factor of 7624 and 7628

GCF of 7624 and 7628 is 4

Prime Factorization of 7624


2 7624
2 3812
2 1906
953 953
1

Prime factors of 7624 are 2,953. Prime factorization of 7624 in exponential form is:

7624 = 23×9531

Prime Factorization of 7628


2 7628
2 3814
1907 1907
1

Prime factors of 7628 are 2,1907. Prime factorization of 7628 in exponential form is:

7628 = 22×19071

∴ So by taking common prime factors GCF of 7624 and 7628 is 4

Greatest Common Factor of 7624 and 7628 by matching factors method

Factors of 7624

List of positive integer factors of 7624 that divides 7624 without a remainder.

1,2,4,8,953,1906,3812,7624

Factors of 7628

List of positive integer factors of 7628 that divides 7628 without a remainder.

1,2,4,1907,3814,7628

Greatest Common Factor

We found the factors and prime factorization of 7624 and 7628. The biggest common factor number is the GCF number.
So the greatest common factor 7624 and 7628 is 4.

Also check out the Least Common Multiple of 7624 and 7628

Properties of GCF 7624 and 7628

(i) The GCF of 7624 and 7628 is associative

GCF of 7624 and 7628 = GCF of 7628 and 7624

Related Greatest Common Factor of 7624

Related Greatest Common Factor of 7628

Frequently Asked Questions on GCF of 7624 and 7628

1. What is the GCF of 7624 and 7628?

Answer: GCF of 7624 and 7628 is 4.

2. What are the Factors of 7624?

Answer: Factors of 7624 are 1, 2, 4, 8, 953, 1906, 3812, 7624. There are 8 integers that are factors of 7624. The greatest factor of 7624 is 7624.

3. What are the Factors of 7628?

Answer: Factors of 7628 are 1, 2, 4, 1907, 3814, 7628. There are 6 integers that are factors of 7628. The greatest factor of 7628 is 7628.

4. How to Find the GCF of 7624 and 7628?

Answer:

Greatest Common Factor of 7624 and 7628 = 4

Step 1: Find the prime factorization of 7624

7624 = 2 x 2 x 2 x 953

Step 2: Find the prime factorization of 7628

7628 = 2 x 2 x 1907

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 7624 and 7628 is 4