What is the Greatest Common Factor of 25382 and 25400?

Greatest common factor (GCF) of 25382 and 25400 is 2.

GCF(25382,25400) = 2

We will now calculate the prime factors of 25382 and 25400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25382 and 25400.

How to find the GCF of 25382 and 25400?

We will first find the prime factorization of 25382 and 25400. After we will calculate the factors of 25382 and 25400 and find the biggest common factor number .

Step-1: Prime Factorization of 25382

Prime factors of 25382 are 2, 7, 37. Prime factorization of 25382 in exponential form is:

25382 = 2¹ × 7³ × 37¹

Step-2: Prime Factorization of 25400

Prime factors of 25400 are 2, 5, 127. Prime factorization of 25400 in exponential form is:

25400 = 2³ × 5² × 127¹

Step-3: Factors of 25382

List of positive integer factors of 25382 that divides 25382 without a remainder.

1, 2, 7, 14, 37, 49, 74, 98, 259, 343, 518, 686, 1813, 3626, 12691

Step-4: Factors of 25400

List of positive integer factors of 25400 that divides 25382 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 127, 200, 254, 508, 635, 1016, 1270, 2540, 3175, 5080, 6350, 12700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25382 and 25400. The biggest common factor number is the GCF number.
So the greatest common factor 25382 and 25400 is 2.

Also check out the Least Common Multiple of 25382 and 25400