What is the Greatest Common Factor of 17982 and 17998?

Greatest common factor (GCF) of 17982 and 17998 is 2.

GCF(17982,17998) = 2

We will now calculate the prime factors of 17982 and 17998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17982 and 17998.

How to find the GCF of 17982 and 17998?

We will first find the prime factorization of 17982 and 17998. After we will calculate the factors of 17982 and 17998 and find the biggest common factor number .

Step-1: Prime Factorization of 17982

Prime factors of 17982 are 2, 3, 37. Prime factorization of 17982 in exponential form is:

17982 = 2¹ × 3⁵ × 37¹

Step-2: Prime Factorization of 17998

Prime factors of 17998 are 2, 8999. Prime factorization of 17998 in exponential form is:

17998 = 2¹ × 8999¹

Step-3: Factors of 17982

List of positive integer factors of 17982 that divides 17982 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 243, 333, 486, 666, 999, 1998, 2997, 5994, 8991

Step-4: Factors of 17998

List of positive integer factors of 17998 that divides 17982 without a remainder.

1, 2, 8999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17982 and 17998. The biggest common factor number is the GCF number.
So the greatest common factor 17982 and 17998 is 2.

Also check out the Least Common Multiple of 17982 and 17998