What is the Greatest Common Factor of 1682 and 1694?

Greatest common factor (GCF) of 1682 and 1694 is 2.

GCF(1682,1694) = 2

We will now calculate the prime factors of 1682 and 1694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1682 and 1694.

How to find the GCF of 1682 and 1694?

We will first find the prime factorization of 1682 and 1694. After we will calculate the factors of 1682 and 1694 and find the biggest common factor number .

Step-1: Prime Factorization of 1682

Prime factors of 1682 are 2, 29. Prime factorization of 1682 in exponential form is:

1682 = 2¹ × 29²

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 1682

List of positive integer factors of 1682 that divides 1682 without a remainder.

1, 2, 29, 58, 841

Step-4: Factors of 1694

List of positive integer factors of 1694 that divides 1682 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 1682 and 1694. The biggest common factor number is the GCF number.
So the greatest common factor 1682 and 1694 is 2.

Also check out the Least Common Multiple of 1682 and 1694