What is the Greatest Common Factor of 72813 and 72819?

Greatest common factor (GCF) of 72813 and 72819 is 3.

GCF(72813,72819) = 3

We will now calculate the prime factors of 72813 and 72819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72813 and 72819.

How to find the GCF of 72813 and 72819?

We will first find the prime factorization of 72813 and 72819. After we will calculate the factors of 72813 and 72819 and find the biggest common factor number .

Step-1: Prime Factorization of 72813

Prime factors of 72813 are 3, 13, 1867. Prime factorization of 72813 in exponential form is:

72813 = 3¹ × 13¹ × 1867¹

Step-2: Prime Factorization of 72819

Prime factors of 72819 are 3, 29, 31. Prime factorization of 72819 in exponential form is:

72819 = 3⁴ × 29¹ × 31¹

Step-3: Factors of 72813

List of positive integer factors of 72813 that divides 72813 without a remainder.

1, 3, 13, 39, 1867, 5601, 24271

Step-4: Factors of 72819

List of positive integer factors of 72819 that divides 72813 without a remainder.

1, 3, 9, 27, 29, 31, 81, 87, 93, 261, 279, 783, 837, 899, 2349, 2511, 2697, 8091, 24273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72813 and 72819. The biggest common factor number is the GCF number.
So the greatest common factor 72813 and 72819 is 3.

Also check out the Least Common Multiple of 72813 and 72819