What is the Greatest Common Factor of 15617 and 15625?

Greatest common factor (GCF) of 15617 and 15625 is 1.

GCF(15617,15625) = 1

We will now calculate the prime factors of 15617 and 15625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15617 and 15625.

How to find the GCF of 15617 and 15625?

We will first find the prime factorization of 15617 and 15625. After we will calculate the factors of 15617 and 15625 and find the biggest common factor number .

Step-1: Prime Factorization of 15617

Prime factors of 15617 are 7, 23, 97. Prime factorization of 15617 in exponential form is:

15617 = 7¹ × 23¹ × 97¹

Step-2: Prime Factorization of 15625

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

15625 = 5⁶

Step-3: Factors of 15617

List of positive integer factors of 15617 that divides 15617 without a remainder.

1, 7, 23, 97, 161, 679, 2231

Step-4: Factors of 15625

List of positive integer factors of 15625 that divides 15617 without a remainder.

1, 5, 25, 125, 625, 3125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15617 and 15625. The biggest common factor number is the GCF number.
So the greatest common factor 15617 and 15625 is 1.

Also check out the Least Common Multiple of 15617 and 15625