What is the Greatest Common Factor of 90658 and 90674?

Greatest common factor (GCF) of 90658 and 90674 is 2.

GCF(90658,90674) = 2

We will now calculate the prime factors of 90658 and 90674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90658 and 90674.

How to find the GCF of 90658 and 90674?

We will first find the prime factorization of 90658 and 90674. After we will calculate the factors of 90658 and 90674 and find the biggest common factor number .

Step-1: Prime Factorization of 90658

Prime factors of 90658 are 2, 45329. Prime factorization of 90658 in exponential form is:

90658 = 2¹ × 45329¹

Step-2: Prime Factorization of 90674

Prime factors of 90674 are 2, 45337. Prime factorization of 90674 in exponential form is:

90674 = 2¹ × 45337¹

Step-3: Factors of 90658

List of positive integer factors of 90658 that divides 90658 without a remainder.

1, 2, 45329

Step-4: Factors of 90674

List of positive integer factors of 90674 that divides 90658 without a remainder.

1, 2, 45337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90658 and 90674. The biggest common factor number is the GCF number.
So the greatest common factor 90658 and 90674 is 2.

Also check out the Least Common Multiple of 90658 and 90674