What is the Greatest Common Factor of 25792 and 25804?

Greatest common factor (GCF) of 25792 and 25804 is 4.

GCF(25792,25804) = 4

We will now calculate the prime factors of 25792 and 25804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25792 and 25804.

How to find the GCF of 25792 and 25804?

We will first find the prime factorization of 25792 and 25804. After we will calculate the factors of 25792 and 25804 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 25804

Prime factors of 25804 are 2, 6451. Prime factorization of 25804 in exponential form is:

25804 = 2² × 6451¹

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 25804

List of positive integer factors of 25804 that divides 25792 without a remainder.

1, 2, 4, 6451, 12902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25792 and 25804. The biggest common factor number is the GCF number.
So the greatest common factor 25792 and 25804 is 4.

Also check out the Least Common Multiple of 25792 and 25804