What is the Greatest Common Factor of 60885 and 60905?

Greatest common factor (GCF) of 60885 and 60905 is 5.

GCF(60885,60905) = 5

We will now calculate the prime factors of 60885 and 60905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60885 and 60905.

How to find the GCF of 60885 and 60905?

We will first find the prime factorization of 60885 and 60905. After we will calculate the factors of 60885 and 60905 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 60905

Prime factors of 60905 are 5, 13, 937. Prime factorization of 60905 in exponential form is:

60905 = 5¹ × 13¹ × 937¹

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 60905

List of positive integer factors of 60905 that divides 60885 without a remainder.

1, 5, 13, 65, 937, 4685, 12181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60885 and 60905. The biggest common factor number is the GCF number.
So the greatest common factor 60885 and 60905 is 5.

Also check out the Least Common Multiple of 60885 and 60905