Greatest Common Factor of 625 and 629

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 625, 629 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 625 and 629 is 1.

GCF(625,629) = 1

GCF of 625 and 629

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

GCF of:
and

Greatest Common Factor of 625 and 629

GCF of 625 and 629 is 1

Prime Factorization of 625


5 625
5 125
5 25
5 5
1

Prime factors of 625 are 5. Prime factorization of 625 in exponential form is:

625 = 54

Prime Factorization of 629


17 629
37 37
1

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

629 = 171×371

∴ So by taking common prime factors GCF of 625 and 629 is 1

Greatest Common Factor of 625 and 629 by matching factors method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 629

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

1,17,37,629

Greatest Common Factor

We found the factors and prime factorization of 625 and 629. The biggest common factor number is the GCF number.
So the greatest common factor 625 and 629 is 1.

Also check out the Least Common Multiple of 625 and 629

Properties of GCF 625 and 629

(i) The GCF of 625 and 629 is associative

GCF of 625 and 629 = GCF of 629 and 625

Related Greatest Common Factor of 625

Related Greatest Common Factor of 629

Frequently Asked Questions on GCF of 625 and 629

1. What is the GCF of 625 and 629?

Answer: GCF of 625 and 629 is 1.

2. What are the Factors of 625?

Answer: Factors of 625 are 1, 5, 25, 125, 625. There are 5 integers that are factors of 625. The greatest factor of 625 is 625.

3. 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.

4. How to Find the GCF of 625 and 629?

Answer:

Greatest Common Factor of 625 and 629 = 1

Step 1: Find the prime factorization of 625

625 = 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 629

629 = 17 x 37

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 625 and 629 is 1