What is the Greatest Common Factor of 25284 and 25296?

Greatest common factor (GCF) of 25284 and 25296 is 12.

GCF(25284,25296) = 12

We will now calculate the prime factors of 25284 and 25296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25284 and 25296.

How to find the GCF of 25284 and 25296?

We will first find the prime factorization of 25284 and 25296. After we will calculate the factors of 25284 and 25296 and find the biggest common factor number .

Step-1: Prime Factorization of 25284

Prime factors of 25284 are 2, 3, 7, 43. Prime factorization of 25284 in exponential form is:

25284 = 2² × 3¹ × 7² × 43¹

Step-2: Prime Factorization of 25296

Prime factors of 25296 are 2, 3, 17, 31. Prime factorization of 25296 in exponential form is:

25296 = 2⁴ × 3¹ × 17¹ × 31¹

Step-3: Factors of 25284

List of positive integer factors of 25284 that divides 25284 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 49, 84, 86, 98, 129, 147, 172, 196, 258, 294, 301, 516, 588, 602, 903, 1204, 1806, 2107, 3612, 4214, 6321, 8428, 12642

Step-4: Factors of 25296

List of positive integer factors of 25296 that divides 25284 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 31, 34, 48, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 272, 372, 408, 496, 527, 744, 816, 1054, 1488, 1581, 2108, 3162, 4216, 6324, 8432, 12648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25284 and 25296. The biggest common factor number is the GCF number.
So the greatest common factor 25284 and 25296 is 12.

Also check out the Least Common Multiple of 25284 and 25296