What is the Greatest Common Factor of 90676 and 90694?

Greatest common factor (GCF) of 90676 and 90694 is 2.

GCF(90676,90694) = 2

We will now calculate the prime factors of 90676 and 90694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90676 and 90694.

How to find the GCF of 90676 and 90694?

We will first find the prime factorization of 90676 and 90694. After we will calculate the factors of 90676 and 90694 and find the biggest common factor number .

Step-1: Prime Factorization of 90676

Prime factors of 90676 are 2, 22669. Prime factorization of 90676 in exponential form is:

90676 = 2² × 22669¹

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 90676

List of positive integer factors of 90676 that divides 90676 without a remainder.

1, 2, 4, 22669, 45338

Step-4: Factors of 90694

List of positive integer factors of 90694 that divides 90676 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90676 and 90694. The biggest common factor number is the GCF number.
So the greatest common factor 90676 and 90694 is 2.

Also check out the Least Common Multiple of 90676 and 90694