What is the Greatest Common Factor of 25925 and 25939?

Greatest common factor (GCF) of 25925 and 25939 is 1.

GCF(25925,25939) = 1

We will now calculate the prime factors of 25925 and 25939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25925 and 25939.

How to find the GCF of 25925 and 25939?

We will first find the prime factorization of 25925 and 25939. After we will calculate the factors of 25925 and 25939 and find the biggest common factor number .

Step-1: Prime Factorization of 25925

Prime factors of 25925 are 5, 17, 61. Prime factorization of 25925 in exponential form is:

25925 = 5² × 17¹ × 61¹

Step-2: Prime Factorization of 25939

Prime factors of 25939 are 25939. Prime factorization of 25939 in exponential form is:

25939 = 25939¹

Step-3: Factors of 25925

List of positive integer factors of 25925 that divides 25925 without a remainder.

1, 5, 17, 25, 61, 85, 305, 425, 1037, 1525, 5185

Step-4: Factors of 25939

List of positive integer factors of 25939 that divides 25925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25925 and 25939. The biggest common factor number is the GCF number.
So the greatest common factor 25925 and 25939 is 1.

Also check out the Least Common Multiple of 25925 and 25939