Greatest Common Factor of 637 and 639

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 637, 639 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 637 and 639 is 1.

GCF(637,639) = 1

GCF of 637 and 639

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

GCF of:
and

Greatest Common Factor of 637 and 639

GCF of 637 and 639 is 1

Prime Factorization of 637


7 637
7 91
13 13
1

Prime factors of 637 are 7,13. Prime factorization of 637 in exponential form is:

637 = 72×131

Prime Factorization of 639


3 639
3 213
71 71
1

Prime factors of 639 are 3,71. Prime factorization of 639 in exponential form is:

639 = 32×711

∴ So by taking common prime factors GCF of 637 and 639 is 1

Greatest Common Factor of 637 and 639 by matching factors method

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors and prime factorization of 637 and 639. The biggest common factor number is the GCF number.
So the greatest common factor 637 and 639 is 1.

Also check out the Least Common Multiple of 637 and 639

Properties of GCF 637 and 639

(i) The GCF of 637 and 639 is associative

GCF of 637 and 639 = GCF of 639 and 637

Related Greatest Common Factor of 637

Related Greatest Common Factor of 639

Frequently Asked Questions on GCF of 637 and 639

1. What is the GCF of 637 and 639?

Answer: GCF of 637 and 639 is 1.

2. What are the Factors of 637?

Answer: Factors of 637 are 1, 7, 13, 49, 91, 637. There are 6 integers that are factors of 637. The greatest factor of 637 is 637.

3. What are the Factors of 639?

Answer: Factors of 639 are 1, 3, 9, 71, 213, 639. There are 6 integers that are factors of 639. The greatest factor of 639 is 639.

4. How to Find the GCF of 637 and 639?

Answer:

Greatest Common Factor of 637 and 639 = 1

Step 1: Find the prime factorization of 637

637 = 7 x 7 x 13

Step 2: Find the prime factorization of 639

639 = 3 x 3 x 71

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 637 and 639 is 1