What is the Greatest Common Factor of 90360 and 90378?

Greatest common factor (GCF) of 90360 and 90378 is 18.

GCF(90360,90378) = 18

We will now calculate the prime factors of 90360 and 90378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90360 and 90378.

How to find the GCF of 90360 and 90378?

We will first find the prime factorization of 90360 and 90378. After we will calculate the factors of 90360 and 90378 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 90378

Prime factors of 90378 are 2, 3, 5021. Prime factorization of 90378 in exponential form is:

90378 = 2¹ × 3² × 5021¹

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 90378

List of positive integer factors of 90378 that divides 90360 without a remainder.

1, 2, 3, 6, 9, 18, 5021, 10042, 15063, 30126, 45189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90360 and 90378. The biggest common factor number is the GCF number.
So the greatest common factor 90360 and 90378 is 18.

Also check out the Least Common Multiple of 90360 and 90378