What is the Greatest Common Factor of 90365 and 90385?

Greatest common factor (GCF) of 90365 and 90385 is 5.

GCF(90365,90385) = 5

We will now calculate the prime factors of 90365 and 90385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90365 and 90385.

How to find the GCF of 90365 and 90385?

We will first find the prime factorization of 90365 and 90385. After we will calculate the factors of 90365 and 90385 and find the biggest common factor number .

Step-1: Prime Factorization of 90365

Prime factors of 90365 are 5, 11, 31, 53. Prime factorization of 90365 in exponential form is:

90365 = 5¹ × 11¹ × 31¹ × 53¹

Step-2: Prime Factorization of 90385

Prime factors of 90385 are 5, 18077. Prime factorization of 90385 in exponential form is:

90385 = 5¹ × 18077¹

Step-3: Factors of 90365

List of positive integer factors of 90365 that divides 90365 without a remainder.

1, 5, 11, 31, 53, 55, 155, 265, 341, 583, 1643, 1705, 2915, 8215, 18073

Step-4: Factors of 90385

List of positive integer factors of 90385 that divides 90365 without a remainder.

1, 5, 18077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90365 and 90385. The biggest common factor number is the GCF number.
So the greatest common factor 90365 and 90385 is 5.

Also check out the Least Common Multiple of 90365 and 90385