What is the Greatest Common Factor of 25164 and 25172?

Greatest common factor (GCF) of 25164 and 25172 is 4.

GCF(25164,25172) = 4

We will now calculate the prime factors of 25164 and 25172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25164 and 25172.

How to find the GCF of 25164 and 25172?

We will first find the prime factorization of 25164 and 25172. After we will calculate the factors of 25164 and 25172 and find the biggest common factor number .

Step-1: Prime Factorization of 25164

Prime factors of 25164 are 2, 3, 233. Prime factorization of 25164 in exponential form is:

25164 = 2² × 3³ × 233¹

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 25164

List of positive integer factors of 25164 that divides 25164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 6291, 8388, 12582

Step-4: Factors of 25172

List of positive integer factors of 25172 that divides 25164 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 25164 and 25172. The biggest common factor number is the GCF number.
So the greatest common factor 25164 and 25172 is 4.

Also check out the Least Common Multiple of 25164 and 25172