What is the Greatest Common Factor of 16980 and 16997?

Greatest common factor (GCF) of 16980 and 16997 is 1.

GCF(16980,16997) = 1

We will now calculate the prime factors of 16980 and 16997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16980 and 16997.

How to find the GCF of 16980 and 16997?

We will first find the prime factorization of 16980 and 16997. After we will calculate the factors of 16980 and 16997 and find the biggest common factor number .

Step-1: Prime Factorization of 16980

Prime factors of 16980 are 2, 3, 5, 283. Prime factorization of 16980 in exponential form is:

16980 = 2² × 3¹ × 5¹ × 283¹

Step-2: Prime Factorization of 16997

Prime factors of 16997 are 23, 739. Prime factorization of 16997 in exponential form is:

16997 = 23¹ × 739¹

Step-3: Factors of 16980

List of positive integer factors of 16980 that divides 16980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 283, 566, 849, 1132, 1415, 1698, 2830, 3396, 4245, 5660, 8490

Step-4: Factors of 16997

List of positive integer factors of 16997 that divides 16980 without a remainder.

1, 23, 739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16980 and 16997. The biggest common factor number is the GCF number.
So the greatest common factor 16980 and 16997 is 1.

Also check out the Least Common Multiple of 16980 and 16997