What is the Greatest Common Factor of 25376 and 25392?

Greatest common factor (GCF) of 25376 and 25392 is 16.

GCF(25376,25392) = 16

We will now calculate the prime factors of 25376 and 25392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25376 and 25392.

How to find the GCF of 25376 and 25392?

We will first find the prime factorization of 25376 and 25392. After we will calculate the factors of 25376 and 25392 and find the biggest common factor number .

Step-1: Prime Factorization of 25376

Prime factors of 25376 are 2, 13, 61. Prime factorization of 25376 in exponential form is:

25376 = 2⁵ × 13¹ × 61¹

Step-2: Prime Factorization of 25392

Prime factors of 25392 are 2, 3, 23. Prime factorization of 25392 in exponential form is:

25392 = 2⁴ × 3¹ × 23²

Step-3: Factors of 25376

List of positive integer factors of 25376 that divides 25376 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 61, 104, 122, 208, 244, 416, 488, 793, 976, 1586, 1952, 3172, 6344, 12688

Step-4: Factors of 25392

List of positive integer factors of 25392 that divides 25376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 529, 552, 1058, 1104, 1587, 2116, 3174, 4232, 6348, 8464, 12696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25376 and 25392. The biggest common factor number is the GCF number.
So the greatest common factor 25376 and 25392 is 16.

Also check out the Least Common Multiple of 25376 and 25392