What is the Greatest Common Factor of 90301 and 90315?

Greatest common factor (GCF) of 90301 and 90315 is 1.

GCF(90301,90315) = 1

We will now calculate the prime factors of 90301 and 90315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90301 and 90315.

How to find the GCF of 90301 and 90315?

We will first find the prime factorization of 90301 and 90315. After we will calculate the factors of 90301 and 90315 and find the biggest common factor number .

Step-1: Prime Factorization of 90301

Prime factors of 90301 are 73, 1237. Prime factorization of 90301 in exponential form is:

90301 = 73¹ × 1237¹

Step-2: Prime Factorization of 90315

Prime factors of 90315 are 3, 5, 223. Prime factorization of 90315 in exponential form is:

90315 = 3⁴ × 5¹ × 223¹

Step-3: Factors of 90301

List of positive integer factors of 90301 that divides 90301 without a remainder.

1, 73, 1237

Step-4: Factors of 90315

List of positive integer factors of 90315 that divides 90301 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 223, 405, 669, 1115, 2007, 3345, 6021, 10035, 18063, 30105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90301 and 90315. The biggest common factor number is the GCF number.
So the greatest common factor 90301 and 90315 is 1.

Also check out the Least Common Multiple of 90301 and 90315