What is the Greatest Common Factor of 25456 and 25472?

Greatest common factor (GCF) of 25456 and 25472 is 16.

GCF(25456,25472) = 16

We will now calculate the prime factors of 25456 and 25472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25456 and 25472.

How to find the GCF of 25456 and 25472?

We will first find the prime factorization of 25456 and 25472. After we will calculate the factors of 25456 and 25472 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25472

Prime factors of 25472 are 2, 199. Prime factorization of 25472 in exponential form is:

25472 = 2⁷ × 199¹

Step-3: Factors of 25456

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

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

Step-4: Factors of 25472

List of positive integer factors of 25472 that divides 25456 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 199, 398, 796, 1592, 3184, 6368, 12736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25456 and 25472. The biggest common factor number is the GCF number.
So the greatest common factor 25456 and 25472 is 16.

Also check out the Least Common Multiple of 25456 and 25472