What is the Greatest Common Factor of 25424 and 25440?

Greatest common factor (GCF) of 25424 and 25440 is 16.

GCF(25424,25440) = 16

We will now calculate the prime factors of 25424 and 25440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25424 and 25440.

How to find the GCF of 25424 and 25440?

We will first find the prime factorization of 25424 and 25440. After we will calculate the factors of 25424 and 25440 and find the biggest common factor number .

Step-1: Prime Factorization of 25424

Prime factors of 25424 are 2, 7, 227. Prime factorization of 25424 in exponential form is:

25424 = 2⁴ × 7¹ × 227¹

Step-2: 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-3: Factors of 25424

List of positive integer factors of 25424 that divides 25424 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 227, 454, 908, 1589, 1816, 3178, 3632, 6356, 12712

Step-4: Factors of 25440

List of positive integer factors of 25440 that divides 25424 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25424 and 25440. The biggest common factor number is the GCF number.
So the greatest common factor 25424 and 25440 is 16.

Also check out the Least Common Multiple of 25424 and 25440