What is the Greatest Common Factor of 60885 and 60900?

Greatest common factor (GCF) of 60885 and 60900 is 15.

GCF(60885,60900) = 15

We will now calculate the prime factors of 60885 and 60900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60885 and 60900.

How to find the GCF of 60885 and 60900?

We will first find the prime factorization of 60885 and 60900. After we will calculate the factors of 60885 and 60900 and find the biggest common factor number .

Step-1: Prime Factorization of 60885

Prime factors of 60885 are 3, 5, 11, 41. Prime factorization of 60885 in exponential form is:

60885 = 3³ × 5¹ × 11¹ × 41¹

Step-2: Prime Factorization of 60900

Prime factors of 60900 are 2, 3, 5, 7, 29. Prime factorization of 60900 in exponential form is:

60900 = 2² × 3¹ × 5² × 7¹ × 29¹

Step-3: Factors of 60885

List of positive integer factors of 60885 that divides 60885 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 41, 45, 55, 99, 123, 135, 165, 205, 297, 369, 451, 495, 615, 1107, 1353, 1485, 1845, 2255, 4059, 5535, 6765, 12177, 20295

Step-4: Factors of 60900

List of positive integer factors of 60900 that divides 60885 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 29, 30, 35, 42, 50, 58, 60, 70, 75, 84, 87, 100, 105, 116, 140, 145, 150, 174, 175, 203, 210, 290, 300, 348, 350, 406, 420, 435, 525, 580, 609, 700, 725, 812, 870, 1015, 1050, 1218, 1450, 1740, 2030, 2100, 2175, 2436, 2900, 3045, 4060, 4350, 5075, 6090, 8700, 10150, 12180, 15225, 20300, 30450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60885 and 60900. The biggest common factor number is the GCF number.
So the greatest common factor 60885 and 60900 is 15.

Also check out the Least Common Multiple of 60885 and 60900