What is the Greatest Common Factor of 25090 and 25100?

Greatest common factor (GCF) of 25090 and 25100 is 10.

GCF(25090,25100) = 10

We will now calculate the prime factors of 25090 and 25100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25090 and 25100.

How to find the GCF of 25090 and 25100?

We will first find the prime factorization of 25090 and 25100. After we will calculate the factors of 25090 and 25100 and find the biggest common factor number .

Step-1: Prime Factorization of 25090

Prime factors of 25090 are 2, 5, 13, 193. Prime factorization of 25090 in exponential form is:

25090 = 2¹ × 5¹ × 13¹ × 193¹

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 25090

List of positive integer factors of 25090 that divides 25090 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 193, 386, 965, 1930, 2509, 5018, 12545

Step-4: Factors of 25100

List of positive integer factors of 25100 that divides 25090 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 25090 and 25100. The biggest common factor number is the GCF number.
So the greatest common factor 25090 and 25100 is 10.

Also check out the Least Common Multiple of 25090 and 25100