What is the Greatest Common Factor of 25957 and 25966?

Greatest common factor (GCF) of 25957 and 25966 is 1.

GCF(25957,25966) = 1

We will now calculate the prime factors of 25957 and 25966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25957 and 25966.

How to find the GCF of 25957 and 25966?

We will first find the prime factorization of 25957 and 25966. After we will calculate the factors of 25957 and 25966 and find the biggest common factor number .

Step-1: Prime Factorization of 25957

Prime factors of 25957 are 101, 257. Prime factorization of 25957 in exponential form is:

25957 = 101¹ × 257¹

Step-2: Prime Factorization of 25966

Prime factors of 25966 are 2, 12983. Prime factorization of 25966 in exponential form is:

25966 = 2¹ × 12983¹

Step-3: Factors of 25957

List of positive integer factors of 25957 that divides 25957 without a remainder.

1, 101, 257

Step-4: Factors of 25966

List of positive integer factors of 25966 that divides 25957 without a remainder.

1, 2, 12983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25957 and 25966. The biggest common factor number is the GCF number.
So the greatest common factor 25957 and 25966 is 1.

Also check out the Least Common Multiple of 25957 and 25966