What is the Greatest Common Factor of 90234 and 90249?

Greatest common factor (GCF) of 90234 and 90249 is 3.

GCF(90234,90249) = 3

We will now calculate the prime factors of 90234 and 90249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90234 and 90249.

How to find the GCF of 90234 and 90249?

We will first find the prime factorization of 90234 and 90249. After we will calculate the factors of 90234 and 90249 and find the biggest common factor number .

Step-1: Prime Factorization of 90234

Prime factors of 90234 are 2, 3, 557. Prime factorization of 90234 in exponential form is:

90234 = 2¹ × 3⁴ × 557¹

Step-2: Prime Factorization of 90249

Prime factors of 90249 are 3, 67, 449. Prime factorization of 90249 in exponential form is:

90249 = 3¹ × 67¹ × 449¹

Step-3: Factors of 90234

List of positive integer factors of 90234 that divides 90234 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 557, 1114, 1671, 3342, 5013, 10026, 15039, 30078, 45117

Step-4: Factors of 90249

List of positive integer factors of 90249 that divides 90234 without a remainder.

1, 3, 67, 201, 449, 1347, 30083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90234 and 90249. The biggest common factor number is the GCF number.
So the greatest common factor 90234 and 90249 is 3.

Also check out the Least Common Multiple of 90234 and 90249