What is the Greatest Common Factor of 80817 and 80828?

Greatest common factor (GCF) of 80817 and 80828 is 11.

GCF(80817,80828) = 11

We will now calculate the prime factors of 80817 and 80828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80817 and 80828.

How to find the GCF of 80817 and 80828?

We will first find the prime factorization of 80817 and 80828. After we will calculate the factors of 80817 and 80828 and find the biggest common factor number .

Step-1: Prime Factorization of 80817

Prime factors of 80817 are 3, 11, 31, 79. Prime factorization of 80817 in exponential form is:

80817 = 3¹ × 11¹ × 31¹ × 79¹

Step-2: Prime Factorization of 80828

Prime factors of 80828 are 2, 11, 167. Prime factorization of 80828 in exponential form is:

80828 = 2² × 11² × 167¹

Step-3: Factors of 80817

List of positive integer factors of 80817 that divides 80817 without a remainder.

1, 3, 11, 31, 33, 79, 93, 237, 341, 869, 1023, 2449, 2607, 7347, 26939

Step-4: Factors of 80828

List of positive integer factors of 80828 that divides 80817 without a remainder.

1, 2, 4, 11, 22, 44, 121, 167, 242, 334, 484, 668, 1837, 3674, 7348, 20207, 40414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80817 and 80828. The biggest common factor number is the GCF number.
So the greatest common factor 80817 and 80828 is 11.

Also check out the Least Common Multiple of 80817 and 80828