What is the Greatest Common Factor of 625 and 629?

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

GCF(625,629) = 1

We will now calculate the prime factors of 625 and 629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 625 and 629.

How to find the GCF of 625 and 629?

We will first find the prime factorization of 625 and 629. After we will calculate the factors of 625 and 629 and find the biggest common factor number .

Step-1: Prime Factorization of 625

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

625 = 5⁴

Step-2: Prime Factorization of 629

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

629 = 17¹ × 37¹

Step-3: Factors of 625

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

1, 5, 25, 125

Step-4: Factors of 629

List of positive integer factors of 629 that divides 625 without a remainder.

1, 17, 37

Final Step: Biggest Common Factor Number

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