What is the Greatest Common Factor of 1683 and 1693?

Greatest common factor (GCF) of 1683 and 1693 is 1.

GCF(1683,1693) = 1

We will now calculate the prime factors of 1683 and 1693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1683 and 1693.

How to find the GCF of 1683 and 1693?

We will first find the prime factorization of 1683 and 1693. After we will calculate the factors of 1683 and 1693 and find the biggest common factor number .

Step-1: Prime Factorization of 1683

Prime factors of 1683 are 3, 11, 17. Prime factorization of 1683 in exponential form is:

1683 = 3² × 11¹ × 17¹

Step-2: Prime Factorization of 1693

Prime factors of 1693 are 1693. Prime factorization of 1693 in exponential form is:

1693 = 1693¹

Step-3: Factors of 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561

Step-4: Factors of 1693

List of positive integer factors of 1693 that divides 1683 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1683 and 1693. The biggest common factor number is the GCF number.
So the greatest common factor 1683 and 1693 is 1.

Also check out the Least Common Multiple of 1683 and 1693