What is the Greatest Common Factor of 90369 and 90384?

Greatest common factor (GCF) of 90369 and 90384 is 3.

GCF(90369,90384) = 3

We will now calculate the prime factors of 90369 and 90384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90369 and 90384.

How to find the GCF of 90369 and 90384?

We will first find the prime factorization of 90369 and 90384. After we will calculate the factors of 90369 and 90384 and find the biggest common factor number .

Step-1: Prime Factorization of 90369

Prime factors of 90369 are 3, 3347. Prime factorization of 90369 in exponential form is:

90369 = 3³ × 3347¹

Step-2: Prime Factorization of 90384

Prime factors of 90384 are 2, 3, 7, 269. Prime factorization of 90384 in exponential form is:

90384 = 2⁴ × 3¹ × 7¹ × 269¹

Step-3: Factors of 90369

List of positive integer factors of 90369 that divides 90369 without a remainder.

1, 3, 9, 27, 3347, 10041, 30123

Step-4: Factors of 90384

List of positive integer factors of 90384 that divides 90369 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 269, 336, 538, 807, 1076, 1614, 1883, 2152, 3228, 3766, 4304, 5649, 6456, 7532, 11298, 12912, 15064, 22596, 30128, 45192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90369 and 90384. The biggest common factor number is the GCF number.
So the greatest common factor 90369 and 90384 is 3.

Also check out the Least Common Multiple of 90369 and 90384