What is the Greatest Common Factor of 25158 and 25172?

Greatest common factor (GCF) of 25158 and 25172 is 14.

GCF(25158,25172) = 14

We will now calculate the prime factors of 25158 and 25172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25158 and 25172.

How to find the GCF of 25158 and 25172?

We will first find the prime factorization of 25158 and 25172. After we will calculate the factors of 25158 and 25172 and find the biggest common factor number .

Step-1: Prime Factorization of 25158

Prime factors of 25158 are 2, 3, 7, 599. Prime factorization of 25158 in exponential form is:

25158 = 2¹ × 3¹ × 7¹ × 599¹

Step-2: 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-3: Factors of 25158

List of positive integer factors of 25158 that divides 25158 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 599, 1198, 1797, 3594, 4193, 8386, 12579

Step-4: Factors of 25172

List of positive integer factors of 25172 that divides 25158 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25158 and 25172. The biggest common factor number is the GCF number.
So the greatest common factor 25158 and 25172 is 14.

Also check out the Least Common Multiple of 25158 and 25172