What is the Greatest Common Factor of 25476 and 25488?

Greatest common factor (GCF) of 25476 and 25488 is 12.

GCF(25476,25488) = 12

We will now calculate the prime factors of 25476 and 25488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25476 and 25488.

How to find the GCF of 25476 and 25488?

We will first find the prime factorization of 25476 and 25488. After we will calculate the factors of 25476 and 25488 and find the biggest common factor number .

Step-1: Prime Factorization of 25476

Prime factors of 25476 are 2, 3, 11, 193. Prime factorization of 25476 in exponential form is:

25476 = 2² × 3¹ × 11¹ × 193¹

Step-2: Prime Factorization of 25488

Prime factors of 25488 are 2, 3, 59. Prime factorization of 25488 in exponential form is:

25488 = 2⁴ × 3³ × 59¹

Step-3: Factors of 25476

List of positive integer factors of 25476 that divides 25476 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 193, 386, 579, 772, 1158, 2123, 2316, 4246, 6369, 8492, 12738

Step-4: Factors of 25488

List of positive integer factors of 25488 that divides 25476 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 59, 72, 108, 118, 144, 177, 216, 236, 354, 432, 472, 531, 708, 944, 1062, 1416, 1593, 2124, 2832, 3186, 4248, 6372, 8496, 12744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25476 and 25488. The biggest common factor number is the GCF number.
So the greatest common factor 25476 and 25488 is 12.

Also check out the Least Common Multiple of 25476 and 25488