What is the Greatest Common Factor of 9030 and 9045?

Greatest common factor (GCF) of 9030 and 9045 is 15.

GCF(9030,9045) = 15

We will now calculate the prime factors of 9030 and 9045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9030 and 9045.

How to find the GCF of 9030 and 9045?

We will first find the prime factorization of 9030 and 9045. After we will calculate the factors of 9030 and 9045 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9045

Prime factors of 9045 are 3, 5, 67. Prime factorization of 9045 in exponential form is:

9045 = 3³ × 5¹ × 67¹

Step-3: Factors of 9030

List of positive integer factors of 9030 that divides 9030 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

Step-4: Factors of 9045

List of positive integer factors of 9045 that divides 9030 without a remainder.

1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9030 and 9045. The biggest common factor number is the GCF number.
So the greatest common factor 9030 and 9045 is 15.

Also check out the Least Common Multiple of 9030 and 9045