Greatest Common Factor of 7627 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 7627, 7631 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7627 and 7631 is 1.

GCF(7627,7631) = 1

GCF of 7627 and 7631

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

GCF of:
and

Greatest Common Factor of 7627 and 7631

GCF of 7627 and 7631 is 1

Prime Factorization of 7627


29 7627
263 263
1

Prime factors of 7627 are 29,263. Prime factorization of 7627 in exponential form is:

7627 = 291×2631

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 7627 and 7631 is 1

Greatest Common Factor of 7627 and 7631 by matching factors method

Factors of 7627

List of positive integer factors of 7627 that divides 7627 without a remainder.

1,29,263,7627

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 7627 and 7631. The biggest common factor number is the GCF number.
So the greatest common factor 7627 and 7631 is 1.

Also check out the Least Common Multiple of 7627 and 7631

Properties of GCF 7627 and 7631

(i) The GCF of 7627 and 7631 is associative

GCF of 7627 and 7631 = GCF of 7631 and 7627

Related Greatest Common Factor of 7627

Related Greatest Common Factor of 7631

Frequently Asked Questions on GCF of 7627 and 7631

1. What is the GCF of 7627 and 7631?

Answer: GCF of 7627 and 7631 is 1.

2. What are the Factors of 7627?

Answer: Factors of 7627 are 1, 29, 263, 7627. There are 4 integers that are factors of 7627. The greatest factor of 7627 is 7627.

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 7627 and 7631?

Answer:

Greatest Common Factor of 7627 and 7631 = 1

Step 1: Find the prime factorization of 7627

7627 = 29 x 263

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 7627 and 7631 is 1