What is the Greatest Common Factor of 21982 and 21992?

Greatest common factor (GCF) of 21982 and 21992 is 2.

GCF(21982,21992) = 2

We will now calculate the prime factors of 21982 and 21992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21982 and 21992.

How to find the GCF of 21982 and 21992?

We will first find the prime factorization of 21982 and 21992. After we will calculate the factors of 21982 and 21992 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 21992

Prime factors of 21992 are 2, 2749. Prime factorization of 21992 in exponential form is:

21992 = 2³ × 2749¹

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 21992

List of positive integer factors of 21992 that divides 21982 without a remainder.

1, 2, 4, 8, 2749, 5498, 10996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21982 and 21992. The biggest common factor number is the GCF number.
So the greatest common factor 21982 and 21992 is 2.

Also check out the Least Common Multiple of 21982 and 21992