What is the Greatest Common Factor of 96015 and 96030?

Greatest common factor (GCF) of 96015 and 96030 is 15.

GCF(96015,96030) = 15

We will now calculate the prime factors of 96015 and 96030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96015 and 96030.

How to find the GCF of 96015 and 96030?

We will first find the prime factorization of 96015 and 96030. After we will calculate the factors of 96015 and 96030 and find the biggest common factor number .

Step-1: Prime Factorization of 96015

Prime factors of 96015 are 3, 5, 37, 173. Prime factorization of 96015 in exponential form is:

96015 = 3¹ × 5¹ × 37¹ × 173¹

Step-2: 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-3: Factors of 96015

List of positive integer factors of 96015 that divides 96015 without a remainder.

1, 3, 5, 15, 37, 111, 173, 185, 519, 555, 865, 2595, 6401, 19203, 32005

Step-4: Factors of 96030

List of positive integer factors of 96030 that divides 96015 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96015 and 96030. The biggest common factor number is the GCF number.
So the greatest common factor 96015 and 96030 is 15.

Also check out the Least Common Multiple of 96015 and 96030