What is the Greatest Common Factor of 16982 and 17002?

Greatest common factor (GCF) of 16982 and 17002 is 2.

GCF(16982,17002) = 2

We will now calculate the prime factors of 16982 and 17002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16982 and 17002.

How to find the GCF of 16982 and 17002?

We will first find the prime factorization of 16982 and 17002. After we will calculate the factors of 16982 and 17002 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 17002

Prime factors of 17002 are 2, 8501. Prime factorization of 17002 in exponential form is:

17002 = 2¹ × 8501¹

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 17002

List of positive integer factors of 17002 that divides 16982 without a remainder.

1, 2, 8501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16982 and 17002. The biggest common factor number is the GCF number.
So the greatest common factor 16982 and 17002 is 2.

Also check out the Least Common Multiple of 16982 and 17002