What is the Greatest Common Factor of 80966 and 80982?

Greatest common factor (GCF) of 80966 and 80982 is 2.

GCF(80966,80982) = 2

We will now calculate the prime factors of 80966 and 80982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80966 and 80982.

How to find the GCF of 80966 and 80982?

We will first find the prime factorization of 80966 and 80982. After we will calculate the factors of 80966 and 80982 and find the biggest common factor number .

Step-1: Prime Factorization of 80966

Prime factors of 80966 are 2, 40483. Prime factorization of 80966 in exponential form is:

80966 = 2¹ × 40483¹

Step-2: 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-3: Factors of 80966

List of positive integer factors of 80966 that divides 80966 without a remainder.

1, 2, 40483

Step-4: Factors of 80982

List of positive integer factors of 80982 that divides 80966 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80966 and 80982. The biggest common factor number is the GCF number.
So the greatest common factor 80966 and 80982 is 2.

Also check out the Least Common Multiple of 80966 and 80982