Greatest Common Factor of 7631 and 7639

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 7631, 7639 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7631 and 7639 is 1.

GCF(7631,7639) = 1

GCF of 7631 and 7639

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

GCF of:
and

Greatest Common Factor of 7631 and 7639

GCF of 7631 and 7639 is 1

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

Prime Factorization of 7639


7639 7639
1

Prime factors of 7639 are 7639. Prime factorization of 7639 in exponential form is:

7639 = 76391

∴ So by taking common prime factors GCF of 7631 and 7639 is 1

Greatest Common Factor of 7631 and 7639 by matching factors method

Factors of 7631

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

1,13,587,7631

Factors of 7639

List of positive integer factors of 7639 that divides 7639 without a remainder.

1,7639

Greatest Common Factor

We found the factors and prime factorization of 7631 and 7639. The biggest common factor number is the GCF number.
So the greatest common factor 7631 and 7639 is 1.

Also check out the Least Common Multiple of 7631 and 7639

Properties of GCF 7631 and 7639

(i) The GCF of 7631 and 7639 is associative

GCF of 7631 and 7639 = GCF of 7639 and 7631

Frequently Asked Questions on GCF of 7631 and 7639

1. What is the GCF of 7631 and 7639?

Answer: GCF of 7631 and 7639 is 1.

2. 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.

3. What are the Factors of 7639?

Answer: Factors of 7639 are 1, 7639. There are 2 integers that are factors of 7639. The greatest factor of 7639 is 7639.

4. How to Find the GCF of 7631 and 7639?

Answer:

Greatest Common Factor of 7631 and 7639 = 1

Step 1: Find the prime factorization of 7631

7631 = 13 x 587

Step 2: Find the prime factorization of 7639

7639 = 7639

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 7631 and 7639 is 1