What is the Greatest Common Factor of 25440 and 25453?

Greatest common factor (GCF) of 25440 and 25453 is 1.

GCF(25440,25453) = 1

We will now calculate the prime factors of 25440 and 25453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25440 and 25453.

How to find the GCF of 25440 and 25453?

We will first find the prime factorization of 25440 and 25453. After we will calculate the factors of 25440 and 25453 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 25453

Prime factors of 25453 are 25453. Prime factorization of 25453 in exponential form is:

25453 = 25453¹

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 25453

List of positive integer factors of 25453 that divides 25440 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25440 and 25453. The biggest common factor number is the GCF number.
So the greatest common factor 25440 and 25453 is 1.

Also check out the Least Common Multiple of 25440 and 25453