What is the Greatest Common Factor of 90204 and 90214?

Greatest common factor (GCF) of 90204 and 90214 is 2.

GCF(90204,90214) = 2

We will now calculate the prime factors of 90204 and 90214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90204 and 90214.

How to find the GCF of 90204 and 90214?

We will first find the prime factorization of 90204 and 90214. After we will calculate the factors of 90204 and 90214 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 90214

Prime factors of 90214 are 2, 43, 1049. Prime factorization of 90214 in exponential form is:

90214 = 2¹ × 43¹ × 1049¹

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 90214

List of positive integer factors of 90214 that divides 90204 without a remainder.

1, 2, 43, 86, 1049, 2098, 45107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90204 and 90214. The biggest common factor number is the GCF number.
So the greatest common factor 90204 and 90214 is 2.

Also check out the Least Common Multiple of 90204 and 90214