What is the Greatest Common Factor of 48060 and 48078?

Greatest common factor (GCF) of 48060 and 48078 is 18.

GCF(48060,48078) = 18

We will now calculate the prime factors of 48060 and 48078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48060 and 48078.

How to find the GCF of 48060 and 48078?

We will first find the prime factorization of 48060 and 48078. After we will calculate the factors of 48060 and 48078 and find the biggest common factor number .

Step-1: Prime Factorization of 48060

Prime factors of 48060 are 2, 3, 5, 89. Prime factorization of 48060 in exponential form is:

48060 = 2² × 3³ × 5¹ × 89¹

Step-2: 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-3: Factors of 48060

List of positive integer factors of 48060 that divides 48060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 89, 90, 108, 135, 178, 180, 267, 270, 356, 445, 534, 540, 801, 890, 1068, 1335, 1602, 1780, 2403, 2670, 3204, 4005, 4806, 5340, 8010, 9612, 12015, 16020, 24030

Step-4: Factors of 48078

List of positive integer factors of 48078 that divides 48060 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48060 and 48078. The biggest common factor number is the GCF number.
So the greatest common factor 48060 and 48078 is 18.

Also check out the Least Common Multiple of 48060 and 48078