What is the Greatest Common Factor of 90249 and 90255?

Greatest common factor (GCF) of 90249 and 90255 is 3.

GCF(90249,90255) = 3

We will now calculate the prime factors of 90249 and 90255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90249 and 90255.

How to find the GCF of 90249 and 90255?

We will first find the prime factorization of 90249 and 90255. After we will calculate the factors of 90249 and 90255 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90255

Prime factors of 90255 are 3, 5, 11, 547. Prime factorization of 90255 in exponential form is:

90255 = 3¹ × 5¹ × 11¹ × 547¹

Step-3: Factors of 90249

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

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

Step-4: Factors of 90255

List of positive integer factors of 90255 that divides 90249 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 547, 1641, 2735, 6017, 8205, 18051, 30085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90249 and 90255. The biggest common factor number is the GCF number.
So the greatest common factor 90249 and 90255 is 3.

Also check out the Least Common Multiple of 90249 and 90255