What is the Greatest Common Factor of 25296 and 25316?

Greatest common factor (GCF) of 25296 and 25316 is 4.

GCF(25296,25316) = 4

We will now calculate the prime factors of 25296 and 25316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25296 and 25316.

How to find the GCF of 25296 and 25316?

We will first find the prime factorization of 25296 and 25316. After we will calculate the factors of 25296 and 25316 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25316

Prime factors of 25316 are 2, 6329. Prime factorization of 25316 in exponential form is:

25316 = 2² × 6329¹

Step-3: Factors of 25296

List of positive integer factors of 25296 that divides 25296 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

Step-4: Factors of 25316

List of positive integer factors of 25316 that divides 25296 without a remainder.

1, 2, 4, 6329, 12658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25296 and 25316. The biggest common factor number is the GCF number.
So the greatest common factor 25296 and 25316 is 4.

Also check out the Least Common Multiple of 25296 and 25316