Greatest Common Factor of 629 and 635

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

Greatest common factor (GCF) of 629 and 635 is 1.

GCF(629,635) = 1

GCF of 629 and 635

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

GCF of:
and

Greatest Common Factor of 629 and 635

GCF of 629 and 635 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 635


5 635
127 127
1

Prime factors of 635 are 5,127. Prime factorization of 635 in exponential form is:

635 = 51×1271

∴ So by taking common prime factors GCF of 629 and 635 is 1

Greatest Common Factor of 629 and 635 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 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors and prime factorization of 629 and 635. The biggest common factor number is the GCF number.
So the greatest common factor 629 and 635 is 1.

Also check out the Least Common Multiple of 629 and 635

Properties of GCF 629 and 635

(i) The GCF of 629 and 635 is associative

GCF of 629 and 635 = GCF of 635 and 629

Related Greatest Common Factor of 629

Related Greatest Common Factor of 635

Frequently Asked Questions on GCF of 629 and 635

1. What is the GCF of 629 and 635?

Answer: GCF of 629 and 635 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 635?

Answer: Factors of 635 are 1, 5, 127, 635. There are 4 integers that are factors of 635. The greatest factor of 635 is 635.

4. How to Find the GCF of 629 and 635?

Answer:

Greatest Common Factor of 629 and 635 = 1

Step 1: Find the prime factorization of 629

629 = 17 x 37

Step 2: Find the prime factorization of 635

635 = 5 x 127

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 635 is 1