What is the Greatest Common Factor of 48060 and 48072?

Greatest common factor (GCF) of 48060 and 48072 is 12.

GCF(48060,48072) = 12

We will now calculate the prime factors of 48060 and 48072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48060 and 48072.

How to find the GCF of 48060 and 48072?

We will first find the prime factorization of 48060 and 48072. After we will calculate the factors of 48060 and 48072 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 48072

Prime factors of 48072 are 2, 3, 2003. Prime factorization of 48072 in exponential form is:

48072 = 2³ × 3¹ × 2003¹

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 48072

List of positive integer factors of 48072 that divides 48060 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2003, 4006, 6009, 8012, 12018, 16024, 24036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48060 and 48072. The biggest common factor number is the GCF number.
So the greatest common factor 48060 and 48072 is 12.

Also check out the Least Common Multiple of 48060 and 48072