What is the Greatest Common Factor of 90204 and 90218?

Greatest common factor (GCF) of 90204 and 90218 is 2.

GCF(90204,90218) = 2

We will now calculate the prime factors of 90204 and 90218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90204 and 90218.

How to find the GCF of 90204 and 90218?

We will first find the prime factorization of 90204 and 90218. After we will calculate the factors of 90204 and 90218 and find the biggest common factor number .

Step-1: Prime Factorization of 90204

Prime factors of 90204 are 2, 3, 7517. Prime factorization of 90204 in exponential form is:

90204 = 2² × 3¹ × 7517¹

Step-2: Prime Factorization of 90218

Prime factors of 90218 are 2, 79, 571. Prime factorization of 90218 in exponential form is:

90218 = 2¹ × 79¹ × 571¹

Step-3: Factors of 90204

List of positive integer factors of 90204 that divides 90204 without a remainder.

1, 2, 3, 4, 6, 12, 7517, 15034, 22551, 30068, 45102

Step-4: Factors of 90218

List of positive integer factors of 90218 that divides 90204 without a remainder.

1, 2, 79, 158, 571, 1142, 45109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90204 and 90218. The biggest common factor number is the GCF number.
So the greatest common factor 90204 and 90218 is 2.

Also check out the Least Common Multiple of 90204 and 90218