What is the Greatest Common Factor of 96054 and 96066?

Greatest common factor (GCF) of 96054 and 96066 is 6.

GCF(96054,96066) = 6

We will now calculate the prime factors of 96054 and 96066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96054 and 96066.

How to find the GCF of 96054 and 96066?

We will first find the prime factorization of 96054 and 96066. After we will calculate the factors of 96054 and 96066 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96066

Prime factors of 96066 are 2, 3, 593. Prime factorization of 96066 in exponential form is:

96066 = 2¹ × 3⁴ × 593¹

Step-3: Factors of 96054

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

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

Step-4: Factors of 96066

List of positive integer factors of 96066 that divides 96054 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 593, 1186, 1779, 3558, 5337, 10674, 16011, 32022, 48033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96054 and 96066. The biggest common factor number is the GCF number.
So the greatest common factor 96054 and 96066 is 6.

Also check out the Least Common Multiple of 96054 and 96066