What is the Greatest Common Factor of 51813 and 51819?

Greatest common factor (GCF) of 51813 and 51819 is 3.

GCF(51813,51819) = 3

We will now calculate the prime factors of 51813 and 51819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51813 and 51819.

How to find the GCF of 51813 and 51819?

We will first find the prime factorization of 51813 and 51819. After we will calculate the factors of 51813 and 51819 and find the biggest common factor number .

Step-1: Prime Factorization of 51813

Prime factors of 51813 are 3, 19, 101. Prime factorization of 51813 in exponential form is:

51813 = 3³ × 19¹ × 101¹

Step-2: 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-3: Factors of 51813

List of positive integer factors of 51813 that divides 51813 without a remainder.

1, 3, 9, 19, 27, 57, 101, 171, 303, 513, 909, 1919, 2727, 5757, 17271

Step-4: Factors of 51819

List of positive integer factors of 51819 that divides 51813 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51813 and 51819. The biggest common factor number is the GCF number.
So the greatest common factor 51813 and 51819 is 3.

Also check out the Least Common Multiple of 51813 and 51819