What is the Greatest Common Factor of 25440 and 25456?

Greatest common factor (GCF) of 25440 and 25456 is 16.

GCF(25440,25456) = 16

We will now calculate the prime factors of 25440 and 25456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25440 and 25456.

How to find the GCF of 25440 and 25456?

We will first find the prime factorization of 25440 and 25456. After we will calculate the factors of 25440 and 25456 and find the biggest common factor number .

Step-1: Prime Factorization of 25440

Prime factors of 25440 are 2, 3, 5, 53. Prime factorization of 25440 in exponential form is:

25440 = 2⁵ × 3¹ × 5¹ × 53¹

Step-2: Prime Factorization of 25456

Prime factors of 25456 are 2, 37, 43. Prime factorization of 25456 in exponential form is:

25456 = 2⁴ × 37¹ × 43¹

Step-3: Factors of 25440

List of positive integer factors of 25440 that divides 25440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 53, 60, 80, 96, 106, 120, 159, 160, 212, 240, 265, 318, 424, 480, 530, 636, 795, 848, 1060, 1272, 1590, 1696, 2120, 2544, 3180, 4240, 5088, 6360, 8480, 12720

Step-4: Factors of 25456

List of positive integer factors of 25456 that divides 25440 without a remainder.

1, 2, 4, 8, 16, 37, 43, 74, 86, 148, 172, 296, 344, 592, 688, 1591, 3182, 6364, 12728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25440 and 25456. The biggest common factor number is the GCF number.
So the greatest common factor 25440 and 25456 is 16.

Also check out the Least Common Multiple of 25440 and 25456