What is the Greatest Common Factor of 9024 and 9030?

Greatest common factor (GCF) of 9024 and 9030 is 6.

GCF(9024,9030) = 6

We will now calculate the prime factors of 9024 and 9030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9024 and 9030.

How to find the GCF of 9024 and 9030?

We will first find the prime factorization of 9024 and 9030. After we will calculate the factors of 9024 and 9030 and find the biggest common factor number .

Step-1: Prime Factorization of 9024

Prime factors of 9024 are 2, 3, 47. Prime factorization of 9024 in exponential form is:

9024 = 2⁶ × 3¹ × 47¹

Step-2: Prime Factorization of 9030

Prime factors of 9030 are 2, 3, 5, 7, 43. Prime factorization of 9030 in exponential form is:

9030 = 2¹ × 3¹ × 5¹ × 7¹ × 43¹

Step-3: Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512

Step-4: Factors of 9030

List of positive integer factors of 9030 that divides 9024 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 70, 86, 105, 129, 210, 215, 258, 301, 430, 602, 645, 903, 1290, 1505, 1806, 3010, 4515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9024 and 9030. The biggest common factor number is the GCF number.
So the greatest common factor 9024 and 9030 is 6.

Also check out the Least Common Multiple of 9024 and 9030