What is the Greatest Common Factor of 21982 and 21997?

Greatest common factor (GCF) of 21982 and 21997 is 1.

GCF(21982,21997) = 1

We will now calculate the prime factors of 21982 and 21997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21982 and 21997.

How to find the GCF of 21982 and 21997?

We will first find the prime factorization of 21982 and 21997. After we will calculate the factors of 21982 and 21997 and find the biggest common factor number .

Step-1: Prime Factorization of 21982

Prime factors of 21982 are 2, 29, 379. Prime factorization of 21982 in exponential form is:

21982 = 2¹ × 29¹ × 379¹

Step-2: Prime Factorization of 21997

Prime factors of 21997 are 21997. Prime factorization of 21997 in exponential form is:

21997 = 21997¹

Step-3: Factors of 21982

List of positive integer factors of 21982 that divides 21982 without a remainder.

1, 2, 29, 58, 379, 758, 10991

Step-4: Factors of 21997

List of positive integer factors of 21997 that divides 21982 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21982 and 21997. The biggest common factor number is the GCF number.
So the greatest common factor 21982 and 21997 is 1.

Also check out the Least Common Multiple of 21982 and 21997