What is the Greatest Common Factor of 25100 and 25113?

Greatest common factor (GCF) of 25100 and 25113 is 1.

GCF(25100,25113) = 1

We will now calculate the prime factors of 25100 and 25113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25100 and 25113.

How to find the GCF of 25100 and 25113?

We will first find the prime factorization of 25100 and 25113. After we will calculate the factors of 25100 and 25113 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25113

Prime factors of 25113 are 3, 11, 761. Prime factorization of 25113 in exponential form is:

25113 = 3¹ × 11¹ × 761¹

Step-3: Factors of 25100

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

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

Step-4: Factors of 25113

List of positive integer factors of 25113 that divides 25100 without a remainder.

1, 3, 11, 33, 761, 2283, 8371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25100 and 25113. The biggest common factor number is the GCF number.
So the greatest common factor 25100 and 25113 is 1.

Also check out the Least Common Multiple of 25100 and 25113