What is the Greatest Common Factor of 25100 and 25104?

Greatest common factor (GCF) of 25100 and 25104 is 4.

GCF(25100,25104) = 4

We will now calculate the prime factors of 25100 and 25104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25100 and 25104.

How to find the GCF of 25100 and 25104?

We will first find the prime factorization of 25100 and 25104. After we will calculate the factors of 25100 and 25104 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 25104

Prime factors of 25104 are 2, 3, 523. Prime factorization of 25104 in exponential form is:

25104 = 2⁴ × 3¹ × 523¹

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 25104

List of positive integer factors of 25104 that divides 25100 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 523, 1046, 1569, 2092, 3138, 4184, 6276, 8368, 12552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25100 and 25104. The biggest common factor number is the GCF number.
So the greatest common factor 25100 and 25104 is 4.

Also check out the Least Common Multiple of 25100 and 25104