What is the Greatest Common Factor of 1687 and 1694?

Greatest common factor (GCF) of 1687 and 1694 is 7.

GCF(1687,1694) = 7

We will now calculate the prime factors of 1687 and 1694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1687 and 1694.

How to find the GCF of 1687 and 1694?

We will first find the prime factorization of 1687 and 1694. After we will calculate the factors of 1687 and 1694 and find the biggest common factor number .

Step-1: Prime Factorization of 1687

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

1687 = 7¹ × 241¹

Step-2: Prime Factorization of 1694

Prime factors of 1694 are 2, 7, 11. Prime factorization of 1694 in exponential form is:

1694 = 2¹ × 7¹ × 11²

Step-3: Factors of 1687

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

1, 7, 241

Step-4: Factors of 1694

List of positive integer factors of 1694 that divides 1687 without a remainder.

1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1687 and 1694. The biggest common factor number is the GCF number.
So the greatest common factor 1687 and 1694 is 7.

Also check out the Least Common Multiple of 1687 and 1694