What is the Greatest Common Factor of 39264 and 39279?

Greatest common factor (GCF) of 39264 and 39279 is 3.

GCF(39264,39279) = 3

We will now calculate the prime factors of 39264 and 39279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39264 and 39279.

How to find the GCF of 39264 and 39279?

We will first find the prime factorization of 39264 and 39279. After we will calculate the factors of 39264 and 39279 and find the biggest common factor number .

Step-1: Prime Factorization of 39264

Prime factors of 39264 are 2, 3, 409. Prime factorization of 39264 in exponential form is:

39264 = 2⁵ × 3¹ × 409¹

Step-2: Prime Factorization of 39279

Prime factors of 39279 are 3, 13093. Prime factorization of 39279 in exponential form is:

39279 = 3¹ × 13093¹

Step-3: Factors of 39264

List of positive integer factors of 39264 that divides 39264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 409, 818, 1227, 1636, 2454, 3272, 4908, 6544, 9816, 13088, 19632

Step-4: Factors of 39279

List of positive integer factors of 39279 that divides 39264 without a remainder.

1, 3, 13093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39264 and 39279. The biggest common factor number is the GCF number.
So the greatest common factor 39264 and 39279 is 3.

Also check out the Least Common Multiple of 39264 and 39279