What is the Greatest Common Factor of 25789 and 25801?

Greatest common factor (GCF) of 25789 and 25801 is 1.

GCF(25789,25801) = 1

We will now calculate the prime factors of 25789 and 25801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25789 and 25801.

How to find the GCF of 25789 and 25801?

We will first find the prime factorization of 25789 and 25801. After we will calculate the factors of 25789 and 25801 and find the biggest common factor number .

Step-1: Prime Factorization of 25789

Prime factors of 25789 are 17, 37, 41. Prime factorization of 25789 in exponential form is:

25789 = 17¹ × 37¹ × 41¹

Step-2: Prime Factorization of 25801

Prime factors of 25801 are 25801. Prime factorization of 25801 in exponential form is:

25801 = 25801¹

Step-3: Factors of 25789

List of positive integer factors of 25789 that divides 25789 without a remainder.

1, 17, 37, 41, 629, 697, 1517

Step-4: Factors of 25801

List of positive integer factors of 25801 that divides 25789 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25789 and 25801. The biggest common factor number is the GCF number.
So the greatest common factor 25789 and 25801 is 1.

Also check out the Least Common Multiple of 25789 and 25801