What is the Greatest Common Factor of 25100 and 25110?

Greatest common factor (GCF) of 25100 and 25110 is 10.

GCF(25100,25110) = 10

We will now calculate the prime factors of 25100 and 25110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25100 and 25110.

How to find the GCF of 25100 and 25110?

We will first find the prime factorization of 25100 and 25110. After we will calculate the factors of 25100 and 25110 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 25110

Prime factors of 25110 are 2, 3, 5, 31. Prime factorization of 25110 in exponential form is:

25110 = 2¹ × 3⁴ × 5¹ × 31¹

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 25110

List of positive integer factors of 25110 that divides 25100 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 81, 90, 93, 135, 155, 162, 186, 270, 279, 310, 405, 465, 558, 810, 837, 930, 1395, 1674, 2511, 2790, 4185, 5022, 8370, 12555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25100 and 25110. The biggest common factor number is the GCF number.
So the greatest common factor 25100 and 25110 is 10.

Also check out the Least Common Multiple of 25100 and 25110