What is the Greatest Common Factor of 39264 and 39269?

Greatest common factor (GCF) of 39264 and 39269 is 1.

GCF(39264,39269) = 1

We will now calculate the prime factors of 39264 and 39269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39264 and 39269.

How to find the GCF of 39264 and 39269?

We will first find the prime factorization of 39264 and 39269. After we will calculate the factors of 39264 and 39269 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 39269

Prime factors of 39269 are 107, 367. Prime factorization of 39269 in exponential form is:

39269 = 107¹ × 367¹

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 39269

List of positive integer factors of 39269 that divides 39264 without a remainder.

1, 107, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39264 and 39269. The biggest common factor number is the GCF number.
So the greatest common factor 39264 and 39269 is 1.

Also check out the Least Common Multiple of 39264 and 39269