What is the Greatest Common Factor of 72819 and 72831?

Greatest common factor (GCF) of 72819 and 72831 is 3.

GCF(72819,72831) = 3

We will now calculate the prime factors of 72819 and 72831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72819 and 72831.

How to find the GCF of 72819 and 72831?

We will first find the prime factorization of 72819 and 72831. After we will calculate the factors of 72819 and 72831 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72831

Prime factors of 72831 are 3, 11, 2207. Prime factorization of 72831 in exponential form is:

72831 = 3¹ × 11¹ × 2207¹

Step-3: Factors of 72819

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

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

Step-4: Factors of 72831

List of positive integer factors of 72831 that divides 72819 without a remainder.

1, 3, 11, 33, 2207, 6621, 24277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72819 and 72831. The biggest common factor number is the GCF number.
So the greatest common factor 72819 and 72831 is 3.

Also check out the Least Common Multiple of 72819 and 72831