What is the Greatest Common Factor of 51987 and 51999?

Greatest common factor (GCF) of 51987 and 51999 is 3.

GCF(51987,51999) = 3

We will now calculate the prime factors of 51987 and 51999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51987 and 51999.

How to find the GCF of 51987 and 51999?

We will first find the prime factorization of 51987 and 51999. After we will calculate the factors of 51987 and 51999 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 51999

Prime factors of 51999 are 3, 17333. Prime factorization of 51999 in exponential form is:

51999 = 3¹ × 17333¹

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 51999

List of positive integer factors of 51999 that divides 51987 without a remainder.

1, 3, 17333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51987 and 51999. The biggest common factor number is the GCF number.
So the greatest common factor 51987 and 51999 is 3.

Also check out the Least Common Multiple of 51987 and 51999