What is the Greatest Common Factor of 90303 and 90318?

Greatest common factor (GCF) of 90303 and 90318 is 3.

GCF(90303,90318) = 3

We will now calculate the prime factors of 90303 and 90318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90303 and 90318.

How to find the GCF of 90303 and 90318?

We will first find the prime factorization of 90303 and 90318. After we will calculate the factors of 90303 and 90318 and find the biggest common factor number .

Step-1: Prime Factorization of 90303

Prime factors of 90303 are 3, 31, 971. Prime factorization of 90303 in exponential form is:

90303 = 3¹ × 31¹ × 971¹

Step-2: Prime Factorization of 90318

Prime factors of 90318 are 2, 3, 15053. Prime factorization of 90318 in exponential form is:

90318 = 2¹ × 3¹ × 15053¹

Step-3: Factors of 90303

List of positive integer factors of 90303 that divides 90303 without a remainder.

1, 3, 31, 93, 971, 2913, 30101

Step-4: Factors of 90318

List of positive integer factors of 90318 that divides 90303 without a remainder.

1, 2, 3, 6, 15053, 30106, 45159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90303 and 90318. The biggest common factor number is the GCF number.
So the greatest common factor 90303 and 90318 is 3.

Also check out the Least Common Multiple of 90303 and 90318