What is the Greatest Common Factor of 25925 and 25933?

Greatest common factor (GCF) of 25925 and 25933 is 1.

GCF(25925,25933) = 1

We will now calculate the prime factors of 25925 and 25933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25925 and 25933.

How to find the GCF of 25925 and 25933?

We will first find the prime factorization of 25925 and 25933. After we will calculate the factors of 25925 and 25933 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 25933

Prime factors of 25933 are 25933. Prime factorization of 25933 in exponential form is:

25933 = 25933¹

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 25933

List of positive integer factors of 25933 that divides 25925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25925 and 25933. The biggest common factor number is the GCF number.
So the greatest common factor 25925 and 25933 is 1.

Also check out the Least Common Multiple of 25925 and 25933