What is the Greatest Common Factor of 96030 and 96045?

Greatest common factor (GCF) of 96030 and 96045 is 15.

GCF(96030,96045) = 15

We will now calculate the prime factors of 96030 and 96045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96030 and 96045.

How to find the GCF of 96030 and 96045?

We will first find the prime factorization of 96030 and 96045. After we will calculate the factors of 96030 and 96045 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 96045

Prime factors of 96045 are 3, 5, 19, 337. Prime factorization of 96045 in exponential form is:

96045 = 3¹ × 5¹ × 19¹ × 337¹

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 96045

List of positive integer factors of 96045 that divides 96030 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 337, 1011, 1685, 5055, 6403, 19209, 32015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96030 and 96045. The biggest common factor number is the GCF number.
So the greatest common factor 96030 and 96045 is 15.

Also check out the Least Common Multiple of 96030 and 96045