What is the Greatest Common Factor of 15625 and 15645?

Greatest common factor (GCF) of 15625 and 15645 is 5.

GCF(15625,15645) = 5

We will now calculate the prime factors of 15625 and 15645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15625 and 15645.

How to find the GCF of 15625 and 15645?

We will first find the prime factorization of 15625 and 15645. After we will calculate the factors of 15625 and 15645 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 15645

Prime factors of 15645 are 3, 5, 7, 149. Prime factorization of 15645 in exponential form is:

15645 = 3¹ × 5¹ × 7¹ × 149¹

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 15645

List of positive integer factors of 15645 that divides 15625 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 149, 447, 745, 1043, 2235, 3129, 5215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15625 and 15645. The biggest common factor number is the GCF number.
So the greatest common factor 15625 and 15645 is 5.

Also check out the Least Common Multiple of 15625 and 15645