What is the Greatest Common Factor of 25360 and 25376?

Greatest common factor (GCF) of 25360 and 25376 is 16.

GCF(25360,25376) = 16

We will now calculate the prime factors of 25360 and 25376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25360 and 25376.

How to find the GCF of 25360 and 25376?

We will first find the prime factorization of 25360 and 25376. After we will calculate the factors of 25360 and 25376 and find the biggest common factor number .

Step-1: Prime Factorization of 25360

Prime factors of 25360 are 2, 5, 317. Prime factorization of 25360 in exponential form is:

25360 = 2⁴ × 5¹ × 317¹

Step-2: 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-3: Factors of 25360

List of positive integer factors of 25360 that divides 25360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 317, 634, 1268, 1585, 2536, 3170, 5072, 6340, 12680

Step-4: Factors of 25376

List of positive integer factors of 25376 that divides 25360 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25360 and 25376. The biggest common factor number is the GCF number.
So the greatest common factor 25360 and 25376 is 16.

Also check out the Least Common Multiple of 25360 and 25376