What is the Greatest Common Factor of 80982 and 80998?

Greatest common factor (GCF) of 80982 and 80998 is 2.

GCF(80982,80998) = 2

We will now calculate the prime factors of 80982 and 80998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80982 and 80998.

How to find the GCF of 80982 and 80998?

We will first find the prime factorization of 80982 and 80998. After we will calculate the factors of 80982 and 80998 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 80998

Prime factors of 80998 are 2, 40499. Prime factorization of 80998 in exponential form is:

80998 = 2¹ × 40499¹

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 80998

List of positive integer factors of 80998 that divides 80982 without a remainder.

1, 2, 40499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80982 and 80998. The biggest common factor number is the GCF number.
So the greatest common factor 80982 and 80998 is 2.

Also check out the Least Common Multiple of 80982 and 80998