What is the Greatest Common Factor of 51819 and 51837?

Greatest common factor (GCF) of 51819 and 51837 is 3.

GCF(51819,51837) = 3

We will now calculate the prime factors of 51819 and 51837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51819 and 51837.

How to find the GCF of 51819 and 51837?

We will first find the prime factorization of 51819 and 51837. After we will calculate the factors of 51819 and 51837 and find the biggest common factor number .

Step-1: Prime Factorization of 51819

Prime factors of 51819 are 3, 23, 751. Prime factorization of 51819 in exponential form is:

51819 = 3¹ × 23¹ × 751¹

Step-2: Prime Factorization of 51837

Prime factors of 51837 are 3, 37, 467. Prime factorization of 51837 in exponential form is:

51837 = 3¹ × 37¹ × 467¹

Step-3: Factors of 51819

List of positive integer factors of 51819 that divides 51819 without a remainder.

1, 3, 23, 69, 751, 2253, 17273

Step-4: Factors of 51837

List of positive integer factors of 51837 that divides 51819 without a remainder.

1, 3, 37, 111, 467, 1401, 17279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51819 and 51837. The biggest common factor number is the GCF number.
So the greatest common factor 51819 and 51837 is 3.

Also check out the Least Common Multiple of 51819 and 51837