Greatest Common Factor of 629 and 632

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

Greatest common factor (GCF) of 629 and 632 is 1.

GCF(629,632) = 1

GCF of 629 and 632

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

GCF of:
and

Greatest Common Factor of 629 and 632

GCF of 629 and 632 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 632


2 632
2 316
2 158
79 79
1

Prime factors of 632 are 2,79. Prime factorization of 632 in exponential form is:

632 = 23×791

∴ So by taking common prime factors GCF of 629 and 632 is 1

Greatest Common Factor of 629 and 632 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 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors and prime factorization of 629 and 632. The biggest common factor number is the GCF number.
So the greatest common factor 629 and 632 is 1.

Also check out the Least Common Multiple of 629 and 632

Properties of GCF 629 and 632

(i) The GCF of 629 and 632 is associative

GCF of 629 and 632 = GCF of 632 and 629

Related Greatest Common Factor of 629

Related Greatest Common Factor of 632

Frequently Asked Questions on GCF of 629 and 632

1. What is the GCF of 629 and 632?

Answer: GCF of 629 and 632 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 632?

Answer: Factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632. There are 8 integers that are factors of 632. The greatest factor of 632 is 632.

4. How to Find the GCF of 629 and 632?

Answer:

Greatest Common Factor of 629 and 632 = 1

Step 1: Find the prime factorization of 629

629 = 17 x 37

Step 2: Find the prime factorization of 632

632 = 2 x 2 x 2 x 79

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 632 is 1