What is the Greatest Common Factor of 1683 and 1687?

Greatest common factor (GCF) of 1683 and 1687 is 1.

GCF(1683,1687) = 1

We will now calculate the prime factors of 1683 and 1687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1683 and 1687.

How to find the GCF of 1683 and 1687?

We will first find the prime factorization of 1683 and 1687. After we will calculate the factors of 1683 and 1687 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 1687

Prime factors of 1687 are 7, 241. Prime factorization of 1687 in exponential form is:

1687 = 7¹ × 241¹

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 1687

List of positive integer factors of 1687 that divides 1683 without a remainder.

1, 7, 241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1683 and 1687. The biggest common factor number is the GCF number.
So the greatest common factor 1683 and 1687 is 1.

Also check out the Least Common Multiple of 1683 and 1687