What is the Greatest Common Factor of 39399 and 39408?

Greatest common factor (GCF) of 39399 and 39408 is 3.

GCF(39399,39408) = 3

We will now calculate the prime factors of 39399 and 39408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39399 and 39408.

How to find the GCF of 39399 and 39408?

We will first find the prime factorization of 39399 and 39408. After we will calculate the factors of 39399 and 39408 and find the biggest common factor number .

Step-1: Prime Factorization of 39399

Prime factors of 39399 are 3, 23, 571. Prime factorization of 39399 in exponential form is:

39399 = 3¹ × 23¹ × 571¹

Step-2: Prime Factorization of 39408

Prime factors of 39408 are 2, 3, 821. Prime factorization of 39408 in exponential form is:

39408 = 2⁴ × 3¹ × 821¹

Step-3: Factors of 39399

List of positive integer factors of 39399 that divides 39399 without a remainder.

1, 3, 23, 69, 571, 1713, 13133

Step-4: Factors of 39408

List of positive integer factors of 39408 that divides 39399 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 821, 1642, 2463, 3284, 4926, 6568, 9852, 13136, 19704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39399 and 39408. The biggest common factor number is the GCF number.
So the greatest common factor 39399 and 39408 is 3.

Also check out the Least Common Multiple of 39399 and 39408