Greatest Common Factor of 7626 and 7634

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 7626, 7634 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7626 and 7634 is 2.

GCF(7626,7634) = 2

GCF of 7626 and 7634

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

GCF of:
and

Greatest Common Factor of 7626 and 7634

GCF of 7626 and 7634 is 2

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

Prime Factorization of 7634


2 7634
11 3817
347 347
1

Prime factors of 7634 are 2,11,347. Prime factorization of 7634 in exponential form is:

7634 = 21×111×3471

∴ So by taking common prime factors GCF of 7626 and 7634 is 2

Greatest Common Factor of 7626 and 7634 by matching factors method

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

Factors of 7634

List of positive integer factors of 7634 that divides 7634 without a remainder.

1,2,11,22,347,694,3817,7634

Greatest Common Factor

We found the factors and prime factorization of 7626 and 7634. The biggest common factor number is the GCF number.
So the greatest common factor 7626 and 7634 is 2.

Also check out the Least Common Multiple of 7626 and 7634

Properties of GCF 7626 and 7634

(i) The GCF of 7626 and 7634 is associative

GCF of 7626 and 7634 = GCF of 7634 and 7626

Related Greatest Common Factor of 7626

Related Greatest Common Factor of 7634

Frequently Asked Questions on GCF of 7626 and 7634

1. What is the GCF of 7626 and 7634?

Answer: GCF of 7626 and 7634 is 2.

2. 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.

3. What are the Factors of 7634?

Answer: Factors of 7634 are 1, 2, 11, 22, 347, 694, 3817, 7634. There are 8 integers that are factors of 7634. The greatest factor of 7634 is 7634.

4. How to Find the GCF of 7626 and 7634?

Answer:

Greatest Common Factor of 7626 and 7634 = 2

Step 1: Find the prime factorization of 7626

7626 = 2 x 3 x 31 x 41

Step 2: Find the prime factorization of 7634

7634 = 2 x 11 x 347

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 7626 and 7634 is 2