What is the Greatest Common Factor of 19982 and 19993?

Greatest common factor (GCF) of 19982 and 19993 is 1.

GCF(19982,19993) = 1

We will now calculate the prime factors of 19982 and 19993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19982 and 19993.

How to find the GCF of 19982 and 19993?

We will first find the prime factorization of 19982 and 19993. After we will calculate the factors of 19982 and 19993 and find the biggest common factor number .

Step-1: Prime Factorization of 19982

Prime factors of 19982 are 2, 97, 103. Prime factorization of 19982 in exponential form is:

19982 = 2¹ × 97¹ × 103¹

Step-2: Prime Factorization of 19993

Prime factors of 19993 are 19993. Prime factorization of 19993 in exponential form is:

19993 = 19993¹

Step-3: Factors of 19982

List of positive integer factors of 19982 that divides 19982 without a remainder.

1, 2, 97, 103, 194, 206, 9991

Step-4: Factors of 19993

List of positive integer factors of 19993 that divides 19982 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19982 and 19993. The biggest common factor number is the GCF number.
So the greatest common factor 19982 and 19993 is 1.

Also check out the Least Common Multiple of 19982 and 19993