What is the Greatest Common Factor of 25799 and 25804?

Greatest common factor (GCF) of 25799 and 25804 is 1.

GCF(25799,25804) = 1

We will now calculate the prime factors of 25799 and 25804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25799 and 25804.

How to find the GCF of 25799 and 25804?

We will first find the prime factorization of 25799 and 25804. After we will calculate the factors of 25799 and 25804 and find the biggest common factor number .

Step-1: Prime Factorization of 25799

Prime factors of 25799 are 25799. Prime factorization of 25799 in exponential form is:

25799 = 25799¹

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 25799

List of positive integer factors of 25799 that divides 25799 without a remainder.

Step-4: Factors of 25804

List of positive integer factors of 25804 that divides 25799 without a remainder.

1, 2, 4, 6451, 12902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25799 and 25804. The biggest common factor number is the GCF number.
So the greatest common factor 25799 and 25804 is 1.

Also check out the Least Common Multiple of 25799 and 25804