What is the Greatest Common Factor of 90255 and 90266?

Greatest common factor (GCF) of 90255 and 90266 is 11.

GCF(90255,90266) = 11

We will now calculate the prime factors of 90255 and 90266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90255 and 90266.

How to find the GCF of 90255 and 90266?

We will first find the prime factorization of 90255 and 90266. After we will calculate the factors of 90255 and 90266 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90266

Prime factors of 90266 are 2, 11, 373. Prime factorization of 90266 in exponential form is:

90266 = 2¹ × 11² × 373¹

Step-3: Factors of 90255

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

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

Step-4: Factors of 90266

List of positive integer factors of 90266 that divides 90255 without a remainder.

1, 2, 11, 22, 121, 242, 373, 746, 4103, 8206, 45133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90255 and 90266. The biggest common factor number is the GCF number.
So the greatest common factor 90255 and 90266 is 11.

Also check out the Least Common Multiple of 90255 and 90266