What is the Greatest Common Factor of 25792 and 25798?

Greatest common factor (GCF) of 25792 and 25798 is 2.

GCF(25792,25798) = 2

We will now calculate the prime factors of 25792 and 25798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25792 and 25798.

How to find the GCF of 25792 and 25798?

We will first find the prime factorization of 25792 and 25798. After we will calculate the factors of 25792 and 25798 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 25798

Prime factors of 25798 are 2, 12899. Prime factorization of 25798 in exponential form is:

25798 = 2¹ × 12899¹

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 25798

List of positive integer factors of 25798 that divides 25792 without a remainder.

1, 2, 12899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25792 and 25798. The biggest common factor number is the GCF number.
So the greatest common factor 25792 and 25798 is 2.

Also check out the Least Common Multiple of 25792 and 25798