What is the Greatest Common Factor of 9030 and 9044?

Greatest common factor (GCF) of 9030 and 9044 is 14.

GCF(9030,9044) = 14

We will now calculate the prime factors of 9030 and 9044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9030 and 9044.

How to find the GCF of 9030 and 9044?

We will first find the prime factorization of 9030 and 9044. After we will calculate the factors of 9030 and 9044 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 9044

Prime factors of 9044 are 2, 7, 17, 19. Prime factorization of 9044 in exponential form is:

9044 = 2² × 7¹ × 17¹ × 19¹

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 9044

List of positive integer factors of 9044 that divides 9030 without a remainder.

1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9030 and 9044. The biggest common factor number is the GCF number.
So the greatest common factor 9030 and 9044 is 14.

Also check out the Least Common Multiple of 9030 and 9044