What is the Greatest Common Factor of 51957 and 51966?

Greatest common factor (GCF) of 51957 and 51966 is 9.

GCF(51957,51966) = 9

We will now calculate the prime factors of 51957 and 51966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51957 and 51966.

How to find the GCF of 51957 and 51966?

We will first find the prime factorization of 51957 and 51966. After we will calculate the factors of 51957 and 51966 and find the biggest common factor number .

Step-1: Prime Factorization of 51957

Prime factors of 51957 are 3, 23, 251. Prime factorization of 51957 in exponential form is:

51957 = 3² × 23¹ × 251¹

Step-2: Prime Factorization of 51966

Prime factors of 51966 are 2, 3, 2887. Prime factorization of 51966 in exponential form is:

51966 = 2¹ × 3² × 2887¹

Step-3: Factors of 51957

List of positive integer factors of 51957 that divides 51957 without a remainder.

1, 3, 9, 23, 69, 207, 251, 753, 2259, 5773, 17319

Step-4: Factors of 51966

List of positive integer factors of 51966 that divides 51957 without a remainder.

1, 2, 3, 6, 9, 18, 2887, 5774, 8661, 17322, 25983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51957 and 51966. The biggest common factor number is the GCF number.
So the greatest common factor 51957 and 51966 is 9.

Also check out the Least Common Multiple of 51957 and 51966