What is the Greatest Common Factor of 625 and 641?

Greatest common factor (GCF) of 625 and 641 is 1.

GCF(625,641) = 1

We will now calculate the prime factors of 625 and 641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 625 and 641.

How to find the GCF of 625 and 641?

We will first find the prime factorization of 625 and 641. After we will calculate the factors of 625 and 641 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 641

Prime factors of 641 are 641. Prime factorization of 641 in exponential form is:

641 = 641¹

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 641

List of positive integer factors of 641 that divides 625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 625 and 641. The biggest common factor number is the GCF number.
So the greatest common factor 625 and 641 is 1.

Also check out the Least Common Multiple of 625 and 641