What is the Greatest Common Factor of 16983 and 16995?

Greatest common factor (GCF) of 16983 and 16995 is 3.

GCF(16983,16995) = 3

We will now calculate the prime factors of 16983 and 16995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16983 and 16995.

How to find the GCF of 16983 and 16995?

We will first find the prime factorization of 16983 and 16995. After we will calculate the factors of 16983 and 16995 and find the biggest common factor number .

Step-1: Prime Factorization of 16983

Prime factors of 16983 are 3, 17, 37. Prime factorization of 16983 in exponential form is:

16983 = 3³ × 17¹ × 37¹

Step-2: Prime Factorization of 16995

Prime factors of 16995 are 3, 5, 11, 103. Prime factorization of 16995 in exponential form is:

16995 = 3¹ × 5¹ × 11¹ × 103¹

Step-3: Factors of 16983

List of positive integer factors of 16983 that divides 16983 without a remainder.

1, 3, 9, 17, 27, 37, 51, 111, 153, 333, 459, 629, 999, 1887, 5661

Step-4: Factors of 16995

List of positive integer factors of 16995 that divides 16983 without a remainder.

1, 3, 5, 11, 15, 33, 55, 103, 165, 309, 515, 1133, 1545, 3399, 5665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16983 and 16995. The biggest common factor number is the GCF number.
So the greatest common factor 16983 and 16995 is 3.

Also check out the Least Common Multiple of 16983 and 16995