What is the Greatest Common Factor of 90024 and 90030?

Greatest common factor (GCF) of 90024 and 90030 is 6.

GCF(90024,90030) = 6

We will now calculate the prime factors of 90024 and 90030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90024 and 90030.

How to find the GCF of 90024 and 90030?

We will first find the prime factorization of 90024 and 90030. After we will calculate the factors of 90024 and 90030 and find the biggest common factor number .

Step-1: Prime Factorization of 90024

Prime factors of 90024 are 2, 3, 11, 31. Prime factorization of 90024 in exponential form is:

90024 = 2³ × 3¹ × 11² × 31¹

Step-2: Prime Factorization of 90030

Prime factors of 90030 are 2, 3, 5, 3001. Prime factorization of 90030 in exponential form is:

90030 = 2¹ × 3¹ × 5¹ × 3001¹

Step-3: Factors of 90024

List of positive integer factors of 90024 that divides 90024 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 121, 124, 132, 186, 242, 248, 264, 341, 363, 372, 484, 682, 726, 744, 968, 1023, 1364, 1452, 2046, 2728, 2904, 3751, 4092, 7502, 8184, 11253, 15004, 22506, 30008, 45012

Step-4: Factors of 90030

List of positive integer factors of 90030 that divides 90024 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3001, 6002, 9003, 15005, 18006, 30010, 45015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90024 and 90030. The biggest common factor number is the GCF number.
So the greatest common factor 90024 and 90030 is 6.

Also check out the Least Common Multiple of 90024 and 90030