What is the Greatest Common Factor of 90255 and 90275?

Greatest common factor (GCF) of 90255 and 90275 is 5.

GCF(90255,90275) = 5

We will now calculate the prime factors of 90255 and 90275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90255 and 90275.

How to find the GCF of 90255 and 90275?

We will first find the prime factorization of 90255 and 90275. After we will calculate the factors of 90255 and 90275 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 90275

Prime factors of 90275 are 5, 23, 157. Prime factorization of 90275 in exponential form is:

90275 = 5² × 23¹ × 157¹

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 90275

List of positive integer factors of 90275 that divides 90255 without a remainder.

1, 5, 23, 25, 115, 157, 575, 785, 3611, 3925, 18055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90255 and 90275. The biggest common factor number is the GCF number.
So the greatest common factor 90255 and 90275 is 5.

Also check out the Least Common Multiple of 90255 and 90275