What is the Greatest Common Factor of 16683 and 16693?

Greatest common factor (GCF) of 16683 and 16693 is 1.

GCF(16683,16693) = 1

We will now calculate the prime factors of 16683 and 16693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16683 and 16693.

How to find the GCF of 16683 and 16693?

We will first find the prime factorization of 16683 and 16693. After we will calculate the factors of 16683 and 16693 and find the biggest common factor number .

Step-1: Prime Factorization of 16683

Prime factors of 16683 are 3, 67, 83. Prime factorization of 16683 in exponential form is:

16683 = 3¹ × 67¹ × 83¹

Step-2: Prime Factorization of 16693

Prime factors of 16693 are 16693. Prime factorization of 16693 in exponential form is:

16693 = 16693¹

Step-3: Factors of 16683

List of positive integer factors of 16683 that divides 16683 without a remainder.

1, 3, 67, 83, 201, 249, 5561

Step-4: Factors of 16693

List of positive integer factors of 16693 that divides 16683 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16683 and 16693. The biggest common factor number is the GCF number.
So the greatest common factor 16683 and 16693 is 1.

Also check out the Least Common Multiple of 16683 and 16693