What is the Greatest Common Factor of 16980 and 16993?

Greatest common factor (GCF) of 16980 and 16993 is 1.

GCF(16980,16993) = 1

We will now calculate the prime factors of 16980 and 16993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16980 and 16993.

How to find the GCF of 16980 and 16993?

We will first find the prime factorization of 16980 and 16993. After we will calculate the factors of 16980 and 16993 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 16993

Prime factors of 16993 are 16993. Prime factorization of 16993 in exponential form is:

16993 = 16993¹

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 16993

List of positive integer factors of 16993 that divides 16980 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16980 and 16993. The biggest common factor number is the GCF number.
So the greatest common factor 16980 and 16993 is 1.

Also check out the Least Common Multiple of 16980 and 16993