What is the Greatest Common Factor of 15625 and 15641?

Greatest common factor (GCF) of 15625 and 15641 is 1.

GCF(15625,15641) = 1

We will now calculate the prime factors of 15625 and 15641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15625 and 15641.

How to find the GCF of 15625 and 15641?

We will first find the prime factorization of 15625 and 15641. After we will calculate the factors of 15625 and 15641 and find the biggest common factor number .

Step-1: Prime Factorization of 15625

Prime factors of 15625 are 5. Prime factorization of 15625 in exponential form is:

15625 = 5⁶

Step-2: Prime Factorization of 15641

Prime factors of 15641 are 15641. Prime factorization of 15641 in exponential form is:

15641 = 15641¹

Step-3: Factors of 15625

List of positive integer factors of 15625 that divides 15625 without a remainder.

1, 5, 25, 125, 625, 3125

Step-4: Factors of 15641

List of positive integer factors of 15641 that divides 15625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15625 and 15641. The biggest common factor number is the GCF number.
So the greatest common factor 15625 and 15641 is 1.

Also check out the Least Common Multiple of 15625 and 15641