What is the Greatest Common Factor of 25376 and 25396?

Greatest common factor (GCF) of 25376 and 25396 is 4.

GCF(25376,25396) = 4

We will now calculate the prime factors of 25376 and 25396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25376 and 25396.

How to find the GCF of 25376 and 25396?

We will first find the prime factorization of 25376 and 25396. After we will calculate the factors of 25376 and 25396 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 25396

Prime factors of 25396 are 2, 7, 907. Prime factorization of 25396 in exponential form is:

25396 = 2² × 7¹ × 907¹

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 25396

List of positive integer factors of 25396 that divides 25376 without a remainder.

1, 2, 4, 7, 14, 28, 907, 1814, 3628, 6349, 12698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25376 and 25396. The biggest common factor number is the GCF number.
So the greatest common factor 25376 and 25396 is 4.

Also check out the Least Common Multiple of 25376 and 25396