What is the Greatest Common Factor of 25792 and 25808?

Greatest common factor (GCF) of 25792 and 25808 is 16.

GCF(25792,25808) = 16

We will now calculate the prime factors of 25792 and 25808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25792 and 25808.

How to find the GCF of 25792 and 25808?

We will first find the prime factorization of 25792 and 25808. After we will calculate the factors of 25792 and 25808 and find the biggest common factor number .

Step-1: Prime Factorization of 25792

Prime factors of 25792 are 2, 13, 31. Prime factorization of 25792 in exponential form is:

25792 = 2⁶ × 13¹ × 31¹

Step-2: Prime Factorization of 25808

Prime factors of 25808 are 2, 1613. Prime factorization of 25808 in exponential form is:

25808 = 2⁴ × 1613¹

Step-3: Factors of 25792

List of positive integer factors of 25792 that divides 25792 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 32, 52, 62, 64, 104, 124, 208, 248, 403, 416, 496, 806, 832, 992, 1612, 1984, 3224, 6448, 12896

Step-4: Factors of 25808

List of positive integer factors of 25808 that divides 25792 without a remainder.

1, 2, 4, 8, 16, 1613, 3226, 6452, 12904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25792 and 25808. The biggest common factor number is the GCF number.
So the greatest common factor 25792 and 25808 is 16.

Also check out the Least Common Multiple of 25792 and 25808