Greatest Common Factor of 7628 and 7631

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, 7631 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7628 and 7631 is 1.

GCF(7628,7631) = 1

GCF of 7628 and 7631

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

GCF of:
and

Greatest Common Factor of 7628 and 7631

GCF of 7628 and 7631 is 1

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 7631


13 7631
587 587
1

Prime factors of 7631 are 13,587. Prime factorization of 7631 in exponential form is:

7631 = 131×5871

∴ So by taking common prime factors GCF of 7628 and 7631 is 1

Greatest Common Factor of 7628 and 7631 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 7631

List of positive integer factors of 7631 that divides 7631 without a remainder.

1,13,587,7631

Greatest Common Factor

We found the factors and prime factorization of 7628 and 7631. The biggest common factor number is the GCF number.
So the greatest common factor 7628 and 7631 is 1.

Also check out the Least Common Multiple of 7628 and 7631

Properties of GCF 7628 and 7631

(i) The GCF of 7628 and 7631 is associative

GCF of 7628 and 7631 = GCF of 7631 and 7628

Related Greatest Common Factor of 7628

Related Greatest Common Factor of 7631

Frequently Asked Questions on GCF of 7628 and 7631

1. What is the GCF of 7628 and 7631?

Answer: GCF of 7628 and 7631 is 1.

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 7631?

Answer: Factors of 7631 are 1, 13, 587, 7631. There are 4 integers that are factors of 7631. The greatest factor of 7631 is 7631.

4. How to Find the GCF of 7628 and 7631?

Answer:

Greatest Common Factor of 7628 and 7631 = 1

Step 1: Find the prime factorization of 7628

7628 = 2 x 2 x 1907

Step 2: Find the prime factorization of 7631

7631 = 13 x 587

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7628 and 7631 is 1