What is the Greatest Common Factor of 48078 and 48084?

Greatest common factor (GCF) of 48078 and 48084 is 6.

GCF(48078,48084) = 6

We will now calculate the prime factors of 48078 and 48084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48078 and 48084.

How to find the GCF of 48078 and 48084?

We will first find the prime factorization of 48078 and 48084. After we will calculate the factors of 48078 and 48084 and find the biggest common factor number .

Step-1: Prime Factorization of 48078

Prime factors of 48078 are 2, 3, 2671. Prime factorization of 48078 in exponential form is:

48078 = 2¹ × 3² × 2671¹

Step-2: Prime Factorization of 48084

Prime factors of 48084 are 2, 3, 4007. Prime factorization of 48084 in exponential form is:

48084 = 2² × 3¹ × 4007¹

Step-3: Factors of 48078

List of positive integer factors of 48078 that divides 48078 without a remainder.

1, 2, 3, 6, 9, 18, 2671, 5342, 8013, 16026, 24039

Step-4: Factors of 48084

List of positive integer factors of 48084 that divides 48078 without a remainder.

1, 2, 3, 4, 6, 12, 4007, 8014, 12021, 16028, 24042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48078 and 48084. The biggest common factor number is the GCF number.
So the greatest common factor 48078 and 48084 is 6.

Also check out the Least Common Multiple of 48078 and 48084