What is the Greatest Common Factor of 25416 and 25428?

Greatest common factor (GCF) of 25416 and 25428 is 12.

GCF(25416,25428) = 12

We will now calculate the prime factors of 25416 and 25428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25416 and 25428.

How to find the GCF of 25416 and 25428?

We will first find the prime factorization of 25416 and 25428. After we will calculate the factors of 25416 and 25428 and find the biggest common factor number .

Step-1: Prime Factorization of 25416

Prime factors of 25416 are 2, 3, 353. Prime factorization of 25416 in exponential form is:

25416 = 2³ × 3² × 353¹

Step-2: Prime Factorization of 25428

Prime factors of 25428 are 2, 3, 13, 163. Prime factorization of 25428 in exponential form is:

25428 = 2² × 3¹ × 13¹ × 163¹

Step-3: Factors of 25416

List of positive integer factors of 25416 that divides 25416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 353, 706, 1059, 1412, 2118, 2824, 3177, 4236, 6354, 8472, 12708

Step-4: Factors of 25428

List of positive integer factors of 25428 that divides 25416 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 163, 326, 489, 652, 978, 1956, 2119, 4238, 6357, 8476, 12714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25416 and 25428. The biggest common factor number is the GCF number.
So the greatest common factor 25416 and 25428 is 12.

Also check out the Least Common Multiple of 25416 and 25428