What is the Greatest Common Factor of 48045 and 48060?

Greatest common factor (GCF) of 48045 and 48060 is 15.

GCF(48045,48060) = 15

We will now calculate the prime factors of 48045 and 48060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48045 and 48060.

How to find the GCF of 48045 and 48060?

We will first find the prime factorization of 48045 and 48060. After we will calculate the factors of 48045 and 48060 and find the biggest common factor number .

Step-1: Prime Factorization of 48045

Prime factors of 48045 are 3, 5, 3203. Prime factorization of 48045 in exponential form is:

48045 = 3¹ × 5¹ × 3203¹

Step-2: 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-3: Factors of 48045

List of positive integer factors of 48045 that divides 48045 without a remainder.

1, 3, 5, 15, 3203, 9609, 16015

Step-4: Factors of 48060

List of positive integer factors of 48060 that divides 48045 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48045 and 48060. The biggest common factor number is the GCF number.
So the greatest common factor 48045 and 48060 is 15.

Also check out the Least Common Multiple of 48045 and 48060