What is the Greatest Common Factor of 51981 and 51993?

Greatest common factor (GCF) of 51981 and 51993 is 3.

GCF(51981,51993) = 3

We will now calculate the prime factors of 51981 and 51993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51981 and 51993.

How to find the GCF of 51981 and 51993?

We will first find the prime factorization of 51981 and 51993. After we will calculate the factors of 51981 and 51993 and find the biggest common factor number .

Step-1: Prime Factorization of 51981

Prime factors of 51981 are 3, 17327. Prime factorization of 51981 in exponential form is:

51981 = 3¹ × 17327¹

Step-2: Prime Factorization of 51993

Prime factors of 51993 are 3, 53, 109. Prime factorization of 51993 in exponential form is:

51993 = 3² × 53¹ × 109¹

Step-3: Factors of 51981

List of positive integer factors of 51981 that divides 51981 without a remainder.

1, 3, 17327

Step-4: Factors of 51993

List of positive integer factors of 51993 that divides 51981 without a remainder.

1, 3, 9, 53, 109, 159, 327, 477, 981, 5777, 17331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51981 and 51993. The biggest common factor number is the GCF number.
So the greatest common factor 51981 and 51993 is 3.

Also check out the Least Common Multiple of 51981 and 51993