What is the Greatest Common Factor of 90204 and 90217?

Greatest common factor (GCF) of 90204 and 90217 is 1.

GCF(90204,90217) = 1

We will now calculate the prime factors of 90204 and 90217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90204 and 90217.

How to find the GCF of 90204 and 90217?

We will first find the prime factorization of 90204 and 90217. After we will calculate the factors of 90204 and 90217 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 90217

Prime factors of 90217 are 90217. Prime factorization of 90217 in exponential form is:

90217 = 90217¹

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 90217

List of positive integer factors of 90217 that divides 90204 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90204 and 90217. The biggest common factor number is the GCF number.
So the greatest common factor 90204 and 90217 is 1.

Also check out the Least Common Multiple of 90204 and 90217