What is the Greatest Common Factor of 39993 and 39999?

Greatest common factor (GCF) of 39993 and 39999 is 3.

GCF(39993,39999) = 3

We will now calculate the prime factors of 39993 and 39999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39993 and 39999.

How to find the GCF of 39993 and 39999?

We will first find the prime factorization of 39993 and 39999. After we will calculate the factors of 39993 and 39999 and find the biggest common factor number .

Step-1: Prime Factorization of 39993

Prime factors of 39993 are 3, 13331. Prime factorization of 39993 in exponential form is:

39993 = 3¹ × 13331¹

Step-2: Prime Factorization of 39999

Prime factors of 39999 are 3, 67, 199. Prime factorization of 39999 in exponential form is:

39999 = 3¹ × 67¹ × 199¹

Step-3: Factors of 39993

List of positive integer factors of 39993 that divides 39993 without a remainder.

1, 3, 13331

Step-4: Factors of 39999

List of positive integer factors of 39999 that divides 39993 without a remainder.

1, 3, 67, 199, 201, 597, 13333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39993 and 39999. The biggest common factor number is the GCF number.
So the greatest common factor 39993 and 39999 is 3.

Also check out the Least Common Multiple of 39993 and 39999