What is the Greatest Common Factor of 60870 and 60885?

Greatest common factor (GCF) of 60870 and 60885 is 15.

GCF(60870,60885) = 15

We will now calculate the prime factors of 60870 and 60885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60870 and 60885.

How to find the GCF of 60870 and 60885?

We will first find the prime factorization of 60870 and 60885. After we will calculate the factors of 60870 and 60885 and find the biggest common factor number .

Step-1: Prime Factorization of 60870

Prime factors of 60870 are 2, 3, 5, 2029. Prime factorization of 60870 in exponential form is:

60870 = 2¹ × 3¹ × 5¹ × 2029¹

Step-2: 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-3: Factors of 60870

List of positive integer factors of 60870 that divides 60870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2029, 4058, 6087, 10145, 12174, 20290, 30435

Step-4: Factors of 60885

List of positive integer factors of 60885 that divides 60870 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60870 and 60885. The biggest common factor number is the GCF number.
So the greatest common factor 60870 and 60885 is 15.

Also check out the Least Common Multiple of 60870 and 60885