What is the Greatest Common Factor of 90345 and 90360?

Greatest common factor (GCF) of 90345 and 90360 is 15.

GCF(90345,90360) = 15

We will now calculate the prime factors of 90345 and 90360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90345 and 90360.

How to find the GCF of 90345 and 90360?

We will first find the prime factorization of 90345 and 90360. After we will calculate the factors of 90345 and 90360 and find the biggest common factor number .

Step-1: Prime Factorization of 90345

Prime factors of 90345 are 3, 5, 19, 317. Prime factorization of 90345 in exponential form is:

90345 = 3¹ × 5¹ × 19¹ × 317¹

Step-2: 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-3: Factors of 90345

List of positive integer factors of 90345 that divides 90345 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 317, 951, 1585, 4755, 6023, 18069, 30115

Step-4: Factors of 90360

List of positive integer factors of 90360 that divides 90345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90345 and 90360. The biggest common factor number is the GCF number.
So the greatest common factor 90345 and 90360 is 15.

Also check out the Least Common Multiple of 90345 and 90360