What is the Greatest Common Factor of 48165 and 48180?

Greatest common factor (GCF) of 48165 and 48180 is 15.

GCF(48165,48180) = 15

We will now calculate the prime factors of 48165 and 48180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48165 and 48180.

How to find the GCF of 48165 and 48180?

We will first find the prime factorization of 48165 and 48180. After we will calculate the factors of 48165 and 48180 and find the biggest common factor number .

Step-1: Prime Factorization of 48165

Prime factors of 48165 are 3, 5, 13, 19. Prime factorization of 48165 in exponential form is:

48165 = 3¹ × 5¹ × 13² × 19¹

Step-2: Prime Factorization of 48180

Prime factors of 48180 are 2, 3, 5, 11, 73. Prime factorization of 48180 in exponential form is:

48180 = 2² × 3¹ × 5¹ × 11¹ × 73¹

Step-3: Factors of 48165

List of positive integer factors of 48165 that divides 48165 without a remainder.

1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 169, 195, 247, 285, 507, 741, 845, 1235, 2535, 3211, 3705, 9633, 16055

Step-4: Factors of 48180

List of positive integer factors of 48180 that divides 48165 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 73, 110, 132, 146, 165, 219, 220, 292, 330, 365, 438, 660, 730, 803, 876, 1095, 1460, 1606, 2190, 2409, 3212, 4015, 4380, 4818, 8030, 9636, 12045, 16060, 24090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48165 and 48180. The biggest common factor number is the GCF number.
So the greatest common factor 48165 and 48180 is 15.

Also check out the Least Common Multiple of 48165 and 48180