What is the Greatest Common Factor of 90682 and 90694?

Greatest common factor (GCF) of 90682 and 90694 is 2.

GCF(90682,90694) = 2

We will now calculate the prime factors of 90682 and 90694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90682 and 90694.

How to find the GCF of 90682 and 90694?

We will first find the prime factorization of 90682 and 90694. After we will calculate the factors of 90682 and 90694 and find the biggest common factor number .

Step-1: Prime Factorization of 90682

Prime factors of 90682 are 2, 45341. Prime factorization of 90682 in exponential form is:

90682 = 2¹ × 45341¹

Step-2: Prime Factorization of 90694

Prime factors of 90694 are 2, 137, 331. Prime factorization of 90694 in exponential form is:

90694 = 2¹ × 137¹ × 331¹

Step-3: Factors of 90682

List of positive integer factors of 90682 that divides 90682 without a remainder.

1, 2, 45341

Step-4: Factors of 90694

List of positive integer factors of 90694 that divides 90682 without a remainder.

1, 2, 137, 274, 331, 662, 45347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90682 and 90694. The biggest common factor number is the GCF number.
So the greatest common factor 90682 and 90694 is 2.

Also check out the Least Common Multiple of 90682 and 90694