What is the Greatest Common Factor of 39405 and 39423?

Greatest common factor (GCF) of 39405 and 39423 is 3.

GCF(39405,39423) = 3

We will now calculate the prime factors of 39405 and 39423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39405 and 39423.

How to find the GCF of 39405 and 39423?

We will first find the prime factorization of 39405 and 39423. After we will calculate the factors of 39405 and 39423 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39423

Prime factors of 39423 are 3, 17, 773. Prime factorization of 39423 in exponential form is:

39423 = 3¹ × 17¹ × 773¹

Step-3: Factors of 39405

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

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

Step-4: Factors of 39423

List of positive integer factors of 39423 that divides 39405 without a remainder.

1, 3, 17, 51, 773, 2319, 13141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39405 and 39423. The biggest common factor number is the GCF number.
So the greatest common factor 39405 and 39423 is 3.

Also check out the Least Common Multiple of 39405 and 39423