What is the Greatest Common Factor of 16982 and 16988?

Greatest common factor (GCF) of 16982 and 16988 is 2.

GCF(16982,16988) = 2

We will now calculate the prime factors of 16982 and 16988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16982 and 16988.

How to find the GCF of 16982 and 16988?

We will first find the prime factorization of 16982 and 16988. After we will calculate the factors of 16982 and 16988 and find the biggest common factor number .

Step-1: Prime Factorization of 16982

Prime factors of 16982 are 2, 7, 1213. Prime factorization of 16982 in exponential form is:

16982 = 2¹ × 7¹ × 1213¹

Step-2: Prime Factorization of 16988

Prime factors of 16988 are 2, 31, 137. Prime factorization of 16988 in exponential form is:

16988 = 2² × 31¹ × 137¹

Step-3: Factors of 16982

List of positive integer factors of 16982 that divides 16982 without a remainder.

1, 2, 7, 14, 1213, 2426, 8491

Step-4: Factors of 16988

List of positive integer factors of 16988 that divides 16982 without a remainder.

1, 2, 4, 31, 62, 124, 137, 274, 548, 4247, 8494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16982 and 16988. The biggest common factor number is the GCF number.
So the greatest common factor 16982 and 16988 is 2.

Also check out the Least Common Multiple of 16982 and 16988