What is the Greatest Common Factor of 90360 and 90364?

Greatest common factor (GCF) of 90360 and 90364 is 4.

GCF(90360,90364) = 4

We will now calculate the prime factors of 90360 and 90364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90360 and 90364.

How to find the GCF of 90360 and 90364?

We will first find the prime factorization of 90360 and 90364. After we will calculate the factors of 90360 and 90364 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 90364

Prime factors of 90364 are 2, 19, 29, 41. Prime factorization of 90364 in exponential form is:

90364 = 2² × 19¹ × 29¹ × 41¹

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 90364

List of positive integer factors of 90364 that divides 90360 without a remainder.

1, 2, 4, 19, 29, 38, 41, 58, 76, 82, 116, 164, 551, 779, 1102, 1189, 1558, 2204, 2378, 3116, 4756, 22591, 45182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90360 and 90364. The biggest common factor number is the GCF number.
So the greatest common factor 90360 and 90364 is 4.

Also check out the Least Common Multiple of 90360 and 90364