What is the Greatest Common Factor of 90315 and 90335?

Greatest common factor (GCF) of 90315 and 90335 is 5.

GCF(90315,90335) = 5

We will now calculate the prime factors of 90315 and 90335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90315 and 90335.

How to find the GCF of 90315 and 90335?

We will first find the prime factorization of 90315 and 90335. After we will calculate the factors of 90315 and 90335 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90335

Prime factors of 90335 are 5, 7, 29, 89. Prime factorization of 90335 in exponential form is:

90335 = 5¹ × 7¹ × 29¹ × 89¹

Step-3: Factors of 90315

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

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

Step-4: Factors of 90335

List of positive integer factors of 90335 that divides 90315 without a remainder.

1, 5, 7, 29, 35, 89, 145, 203, 445, 623, 1015, 2581, 3115, 12905, 18067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90315 and 90335. The biggest common factor number is the GCF number.
So the greatest common factor 90315 and 90335 is 5.

Also check out the Least Common Multiple of 90315 and 90335