What is the Greatest Common Factor of 25128 and 25146?

Greatest common factor (GCF) of 25128 and 25146 is 18.

GCF(25128,25146) = 18

We will now calculate the prime factors of 25128 and 25146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25128 and 25146.

How to find the GCF of 25128 and 25146?

We will first find the prime factorization of 25128 and 25146. After we will calculate the factors of 25128 and 25146 and find the biggest common factor number .

Step-1: Prime Factorization of 25128

Prime factors of 25128 are 2, 3, 349. Prime factorization of 25128 in exponential form is:

25128 = 2³ × 3² × 349¹

Step-2: Prime Factorization of 25146

Prime factors of 25146 are 2, 3, 11, 127. Prime factorization of 25146 in exponential form is:

25146 = 2¹ × 3² × 11¹ × 127¹

Step-3: Factors of 25128

List of positive integer factors of 25128 that divides 25128 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 349, 698, 1047, 1396, 2094, 2792, 3141, 4188, 6282, 8376, 12564

Step-4: Factors of 25146

List of positive integer factors of 25146 that divides 25128 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 127, 198, 254, 381, 762, 1143, 1397, 2286, 2794, 4191, 8382, 12573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25128 and 25146. The biggest common factor number is the GCF number.
So the greatest common factor 25128 and 25146 is 18.

Also check out the Least Common Multiple of 25128 and 25146