What is the Greatest Common Factor of 25425 and 25440?

Greatest common factor (GCF) of 25425 and 25440 is 15.

GCF(25425,25440) = 15

We will now calculate the prime factors of 25425 and 25440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25425 and 25440.

How to find the GCF of 25425 and 25440?

We will first find the prime factorization of 25425 and 25440. After we will calculate the factors of 25425 and 25440 and find the biggest common factor number .

Step-1: Prime Factorization of 25425

Prime factors of 25425 are 3, 5, 113. Prime factorization of 25425 in exponential form is:

25425 = 3² × 5² × 113¹

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 25425

List of positive integer factors of 25425 that divides 25425 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 113, 225, 339, 565, 1017, 1695, 2825, 5085, 8475

Step-4: Factors of 25440

List of positive integer factors of 25440 that divides 25425 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 25425 and 25440. The biggest common factor number is the GCF number.
So the greatest common factor 25425 and 25440 is 15.

Also check out the Least Common Multiple of 25425 and 25440