What is the Greatest Common Factor of 39393 and 39405?

Greatest common factor (GCF) of 39393 and 39405 is 3.

GCF(39393,39405) = 3

We will now calculate the prime factors of 39393 and 39405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39393 and 39405.

How to find the GCF of 39393 and 39405?

We will first find the prime factorization of 39393 and 39405. After we will calculate the factors of 39393 and 39405 and find the biggest common factor number .

Step-1: Prime Factorization of 39393

Prime factors of 39393 are 3, 1459. Prime factorization of 39393 in exponential form is:

39393 = 3³ × 1459¹

Step-2: Prime Factorization of 39405

Prime factors of 39405 are 3, 5, 37, 71. Prime factorization of 39405 in exponential form is:

39405 = 3¹ × 5¹ × 37¹ × 71¹

Step-3: Factors of 39393

List of positive integer factors of 39393 that divides 39393 without a remainder.

1, 3, 9, 27, 1459, 4377, 13131

Step-4: Factors of 39405

List of positive integer factors of 39405 that divides 39393 without a remainder.

1, 3, 5, 15, 37, 71, 111, 185, 213, 355, 555, 1065, 2627, 7881, 13135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39393 and 39405. The biggest common factor number is the GCF number.
So the greatest common factor 39393 and 39405 is 3.

Also check out the Least Common Multiple of 39393 and 39405