What is the Greatest Common Factor of 96030 and 96039?

Greatest common factor (GCF) of 96030 and 96039 is 9.

GCF(96030,96039) = 9

We will now calculate the prime factors of 96030 and 96039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96030 and 96039.

How to find the GCF of 96030 and 96039?

We will first find the prime factorization of 96030 and 96039. After we will calculate the factors of 96030 and 96039 and find the biggest common factor number .

Step-1: Prime Factorization of 96030

Prime factors of 96030 are 2, 3, 5, 11, 97. Prime factorization of 96030 in exponential form is:

96030 = 2¹ × 3² × 5¹ × 11¹ × 97¹

Step-2: Prime Factorization of 96039

Prime factors of 96039 are 3, 3557. Prime factorization of 96039 in exponential form is:

96039 = 3³ × 3557¹

Step-3: Factors of 96030

List of positive integer factors of 96030 that divides 96030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 97, 99, 110, 165, 194, 198, 291, 330, 485, 495, 582, 873, 970, 990, 1067, 1455, 1746, 2134, 2910, 3201, 4365, 5335, 6402, 8730, 9603, 10670, 16005, 19206, 32010, 48015

Step-4: Factors of 96039

List of positive integer factors of 96039 that divides 96030 without a remainder.

1, 3, 9, 27, 3557, 10671, 32013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96030 and 96039. The biggest common factor number is the GCF number.
So the greatest common factor 96030 and 96039 is 9.

Also check out the Least Common Multiple of 96030 and 96039