What is the Greatest Common Factor of 20982 and 20997?

Greatest common factor (GCF) of 20982 and 20997 is 3.

GCF(20982,20997) = 3

We will now calculate the prime factors of 20982 and 20997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20982 and 20997.

How to find the GCF of 20982 and 20997?

We will first find the prime factorization of 20982 and 20997. After we will calculate the factors of 20982 and 20997 and find the biggest common factor number .

Step-1: Prime Factorization of 20982

Prime factors of 20982 are 2, 3, 13, 269. Prime factorization of 20982 in exponential form is:

20982 = 2¹ × 3¹ × 13¹ × 269¹

Step-2: Prime Factorization of 20997

Prime factors of 20997 are 3, 2333. Prime factorization of 20997 in exponential form is:

20997 = 3² × 2333¹

Step-3: Factors of 20982

List of positive integer factors of 20982 that divides 20982 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 269, 538, 807, 1614, 3497, 6994, 10491

Step-4: Factors of 20997

List of positive integer factors of 20997 that divides 20982 without a remainder.

1, 3, 9, 2333, 6999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20982 and 20997. The biggest common factor number is the GCF number.
So the greatest common factor 20982 and 20997 is 3.

Also check out the Least Common Multiple of 20982 and 20997