What is the Greatest Common Factor of 25085 and 25100?

Greatest common factor (GCF) of 25085 and 25100 is 5.

GCF(25085,25100) = 5

We will now calculate the prime factors of 25085 and 25100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25085 and 25100.

How to find the GCF of 25085 and 25100?

We will first find the prime factorization of 25085 and 25100. After we will calculate the factors of 25085 and 25100 and find the biggest common factor number .

Step-1: Prime Factorization of 25085

Prime factors of 25085 are 5, 29, 173. Prime factorization of 25085 in exponential form is:

25085 = 5¹ × 29¹ × 173¹

Step-2: Prime Factorization of 25100

Prime factors of 25100 are 2, 5, 251. Prime factorization of 25100 in exponential form is:

25100 = 2² × 5² × 251¹

Step-3: Factors of 25085

List of positive integer factors of 25085 that divides 25085 without a remainder.

1, 5, 29, 145, 173, 865, 5017

Step-4: Factors of 25100

List of positive integer factors of 25100 that divides 25085 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 251, 502, 1004, 1255, 2510, 5020, 6275, 12550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25085 and 25100. The biggest common factor number is the GCF number.
So the greatest common factor 25085 and 25100 is 5.

Also check out the Least Common Multiple of 25085 and 25100