What is the Greatest Common Factor of 51945 and 51957?

Greatest common factor (GCF) of 51945 and 51957 is 3.

GCF(51945,51957) = 3

We will now calculate the prime factors of 51945 and 51957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51945 and 51957.

How to find the GCF of 51945 and 51957?

We will first find the prime factorization of 51945 and 51957. After we will calculate the factors of 51945 and 51957 and find the biggest common factor number .

Step-1: Prime Factorization of 51945

Prime factors of 51945 are 3, 5, 3463. Prime factorization of 51945 in exponential form is:

51945 = 3¹ × 5¹ × 3463¹

Step-2: 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-3: Factors of 51945

List of positive integer factors of 51945 that divides 51945 without a remainder.

1, 3, 5, 15, 3463, 10389, 17315

Step-4: Factors of 51957

List of positive integer factors of 51957 that divides 51945 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51945 and 51957. The biggest common factor number is the GCF number.
So the greatest common factor 51945 and 51957 is 3.

Also check out the Least Common Multiple of 51945 and 51957