Greatest Common Factor of 7628 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 7628, 7634 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7628 and 7634 is 2.

GCF(7628,7634) = 2

GCF of 7628 and 7634

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

GCF of:
and

Greatest Common Factor of 7628 and 7634

GCF of 7628 and 7634 is 2

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

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 7628 and 7634 is 2

Greatest Common Factor of 7628 and 7634 by matching factors method

Factors of 7628

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

1,2,4,1907,3814,7628

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 7628 and 7634. The biggest common factor number is the GCF number.
So the greatest common factor 7628 and 7634 is 2.

Also check out the Least Common Multiple of 7628 and 7634

Properties of GCF 7628 and 7634

(i) The GCF of 7628 and 7634 is associative

GCF of 7628 and 7634 = GCF of 7634 and 7628

Related Greatest Common Factor of 7628

Related Greatest Common Factor of 7634

Frequently Asked Questions on GCF of 7628 and 7634

1. What is the GCF of 7628 and 7634?

Answer: GCF of 7628 and 7634 is 2.

2. 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.

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 7628 and 7634?

Answer:

Greatest Common Factor of 7628 and 7634 = 2

Step 1: Find the prime factorization of 7628

7628 = 2 x 2 x 1907

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 7628 and 7634 is 2