What is the Greatest Common Factor of 51987 and 51993?

Greatest common factor (GCF) of 51987 and 51993 is 3.

GCF(51987,51993) = 3

We will now calculate the prime factors of 51987 and 51993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51987 and 51993.

How to find the GCF of 51987 and 51993?

We will first find the prime factorization of 51987 and 51993. After we will calculate the factors of 51987 and 51993 and find the biggest common factor number .

Step-1: Prime Factorization of 51987

Prime factors of 51987 are 3, 13, 31, 43. Prime factorization of 51987 in exponential form is:

51987 = 3¹ × 13¹ × 31¹ × 43¹

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 51987

List of positive integer factors of 51987 that divides 51987 without a remainder.

1, 3, 13, 31, 39, 43, 93, 129, 403, 559, 1209, 1333, 1677, 3999, 17329

Step-4: Factors of 51993

List of positive integer factors of 51993 that divides 51987 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 51987 and 51993. The biggest common factor number is the GCF number.
So the greatest common factor 51987 and 51993 is 3.

Also check out the Least Common Multiple of 51987 and 51993