What is the Greatest Common Factor of 80919 and 80931?

Greatest common factor (GCF) of 80919 and 80931 is 3.

GCF(80919,80931) = 3

We will now calculate the prime factors of 80919 and 80931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80919 and 80931.

How to find the GCF of 80919 and 80931?

We will first find the prime factorization of 80919 and 80931. After we will calculate the factors of 80919 and 80931 and find the biggest common factor number .

Step-1: Prime Factorization of 80919

Prime factors of 80919 are 3, 37. Prime factorization of 80919 in exponential form is:

80919 = 3⁷ × 37¹

Step-2: Prime Factorization of 80931

Prime factors of 80931 are 3, 53, 509. Prime factorization of 80931 in exponential form is:

80931 = 3¹ × 53¹ × 509¹

Step-3: Factors of 80919

List of positive integer factors of 80919 that divides 80919 without a remainder.

1, 3, 9, 27, 37, 81, 111, 243, 333, 729, 999, 2187, 2997, 8991, 26973

Step-4: Factors of 80931

List of positive integer factors of 80931 that divides 80919 without a remainder.

1, 3, 53, 159, 509, 1527, 26977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80919 and 80931. The biggest common factor number is the GCF number.
So the greatest common factor 80919 and 80931 is 3.

Also check out the Least Common Multiple of 80919 and 80931