What is the Greatest Common Factor of 25440 and 25447?

Greatest common factor (GCF) of 25440 and 25447 is 1.

GCF(25440,25447) = 1

We will now calculate the prime factors of 25440 and 25447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25440 and 25447.

How to find the GCF of 25440 and 25447?

We will first find the prime factorization of 25440 and 25447. After we will calculate the factors of 25440 and 25447 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 25447

Prime factors of 25447 are 25447. Prime factorization of 25447 in exponential form is:

25447 = 25447¹

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 25447

List of positive integer factors of 25447 that divides 25440 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25440 and 25447. The biggest common factor number is the GCF number.
So the greatest common factor 25440 and 25447 is 1.

Also check out the Least Common Multiple of 25440 and 25447