What is the Greatest Common Factor of 60390 and 60405?

Greatest common factor (GCF) of 60390 and 60405 is 15.

GCF(60390,60405) = 15

We will now calculate the prime factors of 60390 and 60405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60390 and 60405.

How to find the GCF of 60390 and 60405?

We will first find the prime factorization of 60390 and 60405. After we will calculate the factors of 60390 and 60405 and find the biggest common factor number .

Step-1: Prime Factorization of 60390

Prime factors of 60390 are 2, 3, 5, 11, 61. Prime factorization of 60390 in exponential form is:

60390 = 2¹ × 3² × 5¹ × 11¹ × 61¹

Step-2: Prime Factorization of 60405

Prime factors of 60405 are 3, 5, 4027. Prime factorization of 60405 in exponential form is:

60405 = 3¹ × 5¹ × 4027¹

Step-3: Factors of 60390

List of positive integer factors of 60390 that divides 60390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 61, 66, 90, 99, 110, 122, 165, 183, 198, 305, 330, 366, 495, 549, 610, 671, 915, 990, 1098, 1342, 1830, 2013, 2745, 3355, 4026, 5490, 6039, 6710, 10065, 12078, 20130, 30195

Step-4: Factors of 60405

List of positive integer factors of 60405 that divides 60390 without a remainder.

1, 3, 5, 15, 4027, 12081, 20135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60390 and 60405. The biggest common factor number is the GCF number.
So the greatest common factor 60390 and 60405 is 15.

Also check out the Least Common Multiple of 60390 and 60405