What is the Greatest Common Factor of 80982 and 80991?

Greatest common factor (GCF) of 80982 and 80991 is 9.

GCF(80982,80991) = 9

We will now calculate the prime factors of 80982 and 80991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80982 and 80991.

How to find the GCF of 80982 and 80991?

We will first find the prime factorization of 80982 and 80991. After we will calculate the factors of 80982 and 80991 and find the biggest common factor number .

Step-1: Prime Factorization of 80982

Prime factors of 80982 are 2, 3, 11, 409. Prime factorization of 80982 in exponential form is:

80982 = 2¹ × 3² × 11¹ × 409¹

Step-2: Prime Factorization of 80991

Prime factors of 80991 are 3, 8999. Prime factorization of 80991 in exponential form is:

80991 = 3² × 8999¹

Step-3: Factors of 80982

List of positive integer factors of 80982 that divides 80982 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 409, 818, 1227, 2454, 3681, 4499, 7362, 8998, 13497, 26994, 40491

Step-4: Factors of 80991

List of positive integer factors of 80991 that divides 80982 without a remainder.

1, 3, 9, 8999, 26997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80982 and 80991. The biggest common factor number is the GCF number.
So the greatest common factor 80982 and 80991 is 9.

Also check out the Least Common Multiple of 80982 and 80991