What is the Greatest Common Factor of 80982 and 81002?

Greatest common factor (GCF) of 80982 and 81002 is 2.

GCF(80982,81002) = 2

We will now calculate the prime factors of 80982 and 81002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80982 and 81002.

How to find the GCF of 80982 and 81002?

We will first find the prime factorization of 80982 and 81002. After we will calculate the factors of 80982 and 81002 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 81002

Prime factors of 81002 are 2, 101, 401. Prime factorization of 81002 in exponential form is:

81002 = 2¹ × 101¹ × 401¹

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 81002

List of positive integer factors of 81002 that divides 80982 without a remainder.

1, 2, 101, 202, 401, 802, 40501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80982 and 81002. The biggest common factor number is the GCF number.
So the greatest common factor 80982 and 81002 is 2.

Also check out the Least Common Multiple of 80982 and 81002