What is the Greatest Common Factor of 9030 and 9047?

Greatest common factor (GCF) of 9030 and 9047 is 1.

GCF(9030,9047) = 1

We will now calculate the prime factors of 9030 and 9047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9030 and 9047.

How to find the GCF of 9030 and 9047?

We will first find the prime factorization of 9030 and 9047. After we will calculate the factors of 9030 and 9047 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 9047

Prime factors of 9047 are 83, 109. Prime factorization of 9047 in exponential form is:

9047 = 83¹ × 109¹

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 9047

List of positive integer factors of 9047 that divides 9030 without a remainder.

1, 83, 109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9030 and 9047. The biggest common factor number is the GCF number.
So the greatest common factor 9030 and 9047 is 1.

Also check out the Least Common Multiple of 9030 and 9047