Greatest Common Factor of 629 and 636

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 629, 636 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 629 and 636 is 1.

GCF(629,636) = 1

GCF of 629 and 636

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

GCF of:
and

Greatest Common Factor of 629 and 636

GCF of 629 and 636 is 1

Prime Factorization of 629


17 629
37 37
1

Prime factors of 629 are 17,37. Prime factorization of 629 in exponential form is:

629 = 171×371

Prime Factorization of 636


2 636
2 318
3 159
53 53
1

Prime factors of 636 are 2,3,53. Prime factorization of 636 in exponential form is:

636 = 22×31×531

∴ So by taking common prime factors GCF of 629 and 636 is 1

Greatest Common Factor of 629 and 636 by matching factors method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors and prime factorization of 629 and 636. The biggest common factor number is the GCF number.
So the greatest common factor 629 and 636 is 1.

Also check out the Least Common Multiple of 629 and 636

Properties of GCF 629 and 636

(i) The GCF of 629 and 636 is associative

GCF of 629 and 636 = GCF of 636 and 629

Related Greatest Common Factor of 629

Related Greatest Common Factor of 636

Frequently Asked Questions on GCF of 629 and 636

1. What is the GCF of 629 and 636?

Answer: GCF of 629 and 636 is 1.

2. What are the Factors of 629?

Answer: Factors of 629 are 1, 17, 37, 629. There are 4 integers that are factors of 629. The greatest factor of 629 is 629.

3. What are the Factors of 636?

Answer: Factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636. There are 12 integers that are factors of 636. The greatest factor of 636 is 636.

4. How to Find the GCF of 629 and 636?

Answer:

Greatest Common Factor of 629 and 636 = 1

Step 1: Find the prime factorization of 629

629 = 17 x 37

Step 2: Find the prime factorization of 636

636 = 2 x 2 x 3 x 53

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 629 and 636 is 1