Greatest Common Factor of 7624 and 7626

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, 7626 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7624 and 7626 is 2.

GCF(7624,7626) = 2

GCF of 7624 and 7626

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

GCF of:
and

Greatest Common Factor of 7624 and 7626

GCF of 7624 and 7626 is 2

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 7626


2 7626
3 3813
31 1271
41 41
1

Prime factors of 7626 are 2,3,31,41. Prime factorization of 7626 in exponential form is:

7626 = 21×31×311×411

∴ So by taking common prime factors GCF of 7624 and 7626 is 2

Greatest Common Factor of 7624 and 7626 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 7626

List of positive integer factors of 7626 that divides 7626 without a remainder.

1,2,3,6,31,41,62,82,93,123,186,246,1271,2542,3813,7626

Greatest Common Factor

We found the factors and prime factorization of 7624 and 7626. The biggest common factor number is the GCF number.
So the greatest common factor 7624 and 7626 is 2.

Also check out the Least Common Multiple of 7624 and 7626

Properties of GCF 7624 and 7626

(i) The GCF of 7624 and 7626 is associative

GCF of 7624 and 7626 = GCF of 7626 and 7624

Related Greatest Common Factor of 7624

Related Greatest Common Factor of 7626

Frequently Asked Questions on GCF of 7624 and 7626

1. What is the GCF of 7624 and 7626?

Answer: GCF of 7624 and 7626 is 2.

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 7626?

Answer: Factors of 7626 are 1, 2, 3, 6, 31, 41, 62, 82, 93, 123, 186, 246, 1271, 2542, 3813, 7626. There are 16 integers that are factors of 7626. The greatest factor of 7626 is 7626.

4. How to Find the GCF of 7624 and 7626?

Answer:

Greatest Common Factor of 7624 and 7626 = 2

Step 1: Find the prime factorization of 7624

7624 = 2 x 2 x 2 x 953

Step 2: Find the prime factorization of 7626

7626 = 2 x 3 x 31 x 41

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7624 and 7626 is 2