What is the Greatest Common Factor of 25344 and 25360?

Greatest common factor (GCF) of 25344 and 25360 is 16.

GCF(25344,25360) = 16

We will now calculate the prime factors of 25344 and 25360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25344 and 25360.

How to find the GCF of 25344 and 25360?

We will first find the prime factorization of 25344 and 25360. After we will calculate the factors of 25344 and 25360 and find the biggest common factor number .

Step-1: Prime Factorization of 25344

Prime factors of 25344 are 2, 3, 11. Prime factorization of 25344 in exponential form is:

25344 = 2⁸ × 3² × 11¹

Step-2: Prime Factorization of 25360

Prime factors of 25360 are 2, 5, 317. Prime factorization of 25360 in exponential form is:

25360 = 2⁴ × 5¹ × 317¹

Step-3: Factors of 25344

List of positive integer factors of 25344 that divides 25344 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 128, 132, 144, 176, 192, 198, 256, 264, 288, 352, 384, 396, 528, 576, 704, 768, 792, 1056, 1152, 1408, 1584, 2112, 2304, 2816, 3168, 4224, 6336, 8448, 12672

Step-4: Factors of 25360

List of positive integer factors of 25360 that divides 25344 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 317, 634, 1268, 1585, 2536, 3170, 5072, 6340, 12680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25344 and 25360. The biggest common factor number is the GCF number.
So the greatest common factor 25344 and 25360 is 16.

Also check out the Least Common Multiple of 25344 and 25360