What is the Greatest Common Factor of 25172 and 25188?

Greatest common factor (GCF) of 25172 and 25188 is 4.

GCF(25172,25188) = 4

We will now calculate the prime factors of 25172 and 25188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25172 and 25188.

How to find the GCF of 25172 and 25188?

We will first find the prime factorization of 25172 and 25188. After we will calculate the factors of 25172 and 25188 and find the biggest common factor number .

Step-1: Prime Factorization of 25172

Prime factors of 25172 are 2, 7, 29, 31. Prime factorization of 25172 in exponential form is:

25172 = 2² × 7¹ × 29¹ × 31¹

Step-2: Prime Factorization of 25188

Prime factors of 25188 are 2, 3, 2099. Prime factorization of 25188 in exponential form is:

25188 = 2² × 3¹ × 2099¹

Step-3: Factors of 25172

List of positive integer factors of 25172 that divides 25172 without a remainder.

1, 2, 4, 7, 14, 28, 29, 31, 58, 62, 116, 124, 203, 217, 406, 434, 812, 868, 899, 1798, 3596, 6293, 12586

Step-4: Factors of 25188

List of positive integer factors of 25188 that divides 25172 without a remainder.

1, 2, 3, 4, 6, 12, 2099, 4198, 6297, 8396, 12594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25172 and 25188. The biggest common factor number is the GCF number.
So the greatest common factor 25172 and 25188 is 4.

Also check out the Least Common Multiple of 25172 and 25188