What is the Greatest Common Factor of 25100 and 25106?

Greatest common factor (GCF) of 25100 and 25106 is 2.

GCF(25100,25106) = 2

We will now calculate the prime factors of 25100 and 25106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25100 and 25106.

How to find the GCF of 25100 and 25106?

We will first find the prime factorization of 25100 and 25106. After we will calculate the factors of 25100 and 25106 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 25106

Prime factors of 25106 are 2, 12553. Prime factorization of 25106 in exponential form is:

25106 = 2¹ × 12553¹

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 25106

List of positive integer factors of 25106 that divides 25100 without a remainder.

1, 2, 12553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25100 and 25106. The biggest common factor number is the GCF number.
So the greatest common factor 25100 and 25106 is 2.

Also check out the Least Common Multiple of 25100 and 25106