What is the Greatest Common Factor of 90360 and 90365?

Greatest common factor (GCF) of 90360 and 90365 is 5.

GCF(90360,90365) = 5

We will now calculate the prime factors of 90360 and 90365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90360 and 90365.

How to find the GCF of 90360 and 90365?

We will first find the prime factorization of 90360 and 90365. After we will calculate the factors of 90360 and 90365 and find the biggest common factor number .

Step-1: Prime Factorization of 90360

Prime factors of 90360 are 2, 3, 5, 251. Prime factorization of 90360 in exponential form is:

90360 = 2³ × 3² × 5¹ × 251¹

Step-2: 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-3: Factors of 90360

List of positive integer factors of 90360 that divides 90360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 251, 360, 502, 753, 1004, 1255, 1506, 2008, 2259, 2510, 3012, 3765, 4518, 5020, 6024, 7530, 9036, 10040, 11295, 15060, 18072, 22590, 30120, 45180

Step-4: Factors of 90365

List of positive integer factors of 90365 that divides 90360 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90360 and 90365. The biggest common factor number is the GCF number.
So the greatest common factor 90360 and 90365 is 5.

Also check out the Least Common Multiple of 90360 and 90365