What is the Greatest Common Factor of 90465 and 90483?

Greatest common factor (GCF) of 90465 and 90483 is 3.

GCF(90465,90483) = 3

We will now calculate the prime factors of 90465 and 90483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90465 and 90483.

How to find the GCF of 90465 and 90483?

We will first find the prime factorization of 90465 and 90483. After we will calculate the factors of 90465 and 90483 and find the biggest common factor number .

Step-1: Prime Factorization of 90465

Prime factors of 90465 are 3, 5, 37, 163. Prime factorization of 90465 in exponential form is:

90465 = 3¹ × 5¹ × 37¹ × 163¹

Step-2: Prime Factorization of 90483

Prime factors of 90483 are 3, 30161. Prime factorization of 90483 in exponential form is:

90483 = 3¹ × 30161¹

Step-3: Factors of 90465

List of positive integer factors of 90465 that divides 90465 without a remainder.

1, 3, 5, 15, 37, 111, 163, 185, 489, 555, 815, 2445, 6031, 18093, 30155

Step-4: Factors of 90483

List of positive integer factors of 90483 that divides 90465 without a remainder.

1, 3, 30161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90465 and 90483. The biggest common factor number is the GCF number.
So the greatest common factor 90465 and 90483 is 3.

Also check out the Least Common Multiple of 90465 and 90483