What is the Greatest Common Factor of 96048 and 96054?

Greatest common factor (GCF) of 96048 and 96054 is 6.

GCF(96048,96054) = 6

We will now calculate the prime factors of 96048 and 96054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96048 and 96054.

How to find the GCF of 96048 and 96054?

We will first find the prime factorization of 96048 and 96054. After we will calculate the factors of 96048 and 96054 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96054

Prime factors of 96054 are 2, 3, 7, 2287. Prime factorization of 96054 in exponential form is:

96054 = 2¹ × 3¹ × 7¹ × 2287¹

Step-3: Factors of 96048

List of positive integer factors of 96048 that divides 96048 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

Step-4: Factors of 96054

List of positive integer factors of 96054 that divides 96048 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2287, 4574, 6861, 13722, 16009, 32018, 48027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96048 and 96054. The biggest common factor number is the GCF number.
So the greatest common factor 96048 and 96054 is 6.

Also check out the Least Common Multiple of 96048 and 96054