What is the Greatest Common Factor of 93048 and 93054?

Greatest common factor (GCF) of 93048 and 93054 is 6.

GCF(93048,93054) = 6

We will now calculate the prime factors of 93048 and 93054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93048 and 93054.

How to find the GCF of 93048 and 93054?

We will first find the prime factorization of 93048 and 93054. After we will calculate the factors of 93048 and 93054 and find the biggest common factor number .

Step-1: Prime Factorization of 93048

Prime factors of 93048 are 2, 3, 3877. Prime factorization of 93048 in exponential form is:

93048 = 2³ × 3¹ × 3877¹

Step-2: Prime Factorization of 93054

Prime factors of 93054 are 2, 3, 13, 1193. Prime factorization of 93054 in exponential form is:

93054 = 2¹ × 3¹ × 13¹ × 1193¹

Step-3: Factors of 93048

List of positive integer factors of 93048 that divides 93048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3877, 7754, 11631, 15508, 23262, 31016, 46524

Step-4: Factors of 93054

List of positive integer factors of 93054 that divides 93048 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1193, 2386, 3579, 7158, 15509, 31018, 46527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93048 and 93054. The biggest common factor number is the GCF number.
So the greatest common factor 93048 and 93054 is 6.

Also check out the Least Common Multiple of 93048 and 93054