What is the Greatest Common Factor of 90465 and 90474?

Greatest common factor (GCF) of 90465 and 90474 is 3.

GCF(90465,90474) = 3

We will now calculate the prime factors of 90465 and 90474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90465 and 90474.

How to find the GCF of 90465 and 90474?

We will first find the prime factorization of 90465 and 90474. After we will calculate the factors of 90465 and 90474 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 90474

Prime factors of 90474 are 2, 3, 17, 887. Prime factorization of 90474 in exponential form is:

90474 = 2¹ × 3¹ × 17¹ × 887¹

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 90474

List of positive integer factors of 90474 that divides 90465 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 887, 1774, 2661, 5322, 15079, 30158, 45237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90465 and 90474. The biggest common factor number is the GCF number.
So the greatest common factor 90465 and 90474 is 3.

Also check out the Least Common Multiple of 90465 and 90474