What is the Greatest Common Factor of 96030 and 96048?

Greatest common factor (GCF) of 96030 and 96048 is 18.

GCF(96030,96048) = 18

We will now calculate the prime factors of 96030 and 96048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96030 and 96048.

How to find the GCF of 96030 and 96048?

We will first find the prime factorization of 96030 and 96048. After we will calculate the factors of 96030 and 96048 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 96048

Prime factors of 96048 are 2, 3, 23, 29. Prime factorization of 96048 in exponential form is:

96048 = 2⁴ × 3² × 23¹ × 29¹

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 96048

List of positive integer factors of 96048 that divides 96030 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 29, 36, 46, 48, 58, 69, 72, 87, 92, 116, 138, 144, 174, 184, 207, 232, 261, 276, 348, 368, 414, 464, 522, 552, 667, 696, 828, 1044, 1104, 1334, 1392, 1656, 2001, 2088, 2668, 3312, 4002, 4176, 5336, 6003, 8004, 10672, 12006, 16008, 24012, 32016, 48024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96030 and 96048. The biggest common factor number is the GCF number.
So the greatest common factor 96030 and 96048 is 18.

Also check out the Least Common Multiple of 96030 and 96048