What is the Greatest Common Factor of 25368 and 25382?

Greatest common factor (GCF) of 25368 and 25382 is 14.

GCF(25368,25382) = 14

We will now calculate the prime factors of 25368 and 25382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25368 and 25382.

How to find the GCF of 25368 and 25382?

We will first find the prime factorization of 25368 and 25382. After we will calculate the factors of 25368 and 25382 and find the biggest common factor number .

Step-1: Prime Factorization of 25368

Prime factors of 25368 are 2, 3, 7, 151. Prime factorization of 25368 in exponential form is:

25368 = 2³ × 3¹ × 7¹ × 151¹

Step-2: 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-3: Factors of 25368

List of positive integer factors of 25368 that divides 25368 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 151, 168, 302, 453, 604, 906, 1057, 1208, 1812, 2114, 3171, 3624, 4228, 6342, 8456, 12684

Step-4: Factors of 25382

List of positive integer factors of 25382 that divides 25368 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25368 and 25382. The biggest common factor number is the GCF number.
So the greatest common factor 25368 and 25382 is 14.

Also check out the Least Common Multiple of 25368 and 25382