What is the Greatest Common Factor of 39264 and 39280?

Greatest common factor (GCF) of 39264 and 39280 is 16.

GCF(39264,39280) = 16

We will now calculate the prime factors of 39264 and 39280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39264 and 39280.

How to find the GCF of 39264 and 39280?

We will first find the prime factorization of 39264 and 39280. After we will calculate the factors of 39264 and 39280 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 39280

Prime factors of 39280 are 2, 5, 491. Prime factorization of 39280 in exponential form is:

39280 = 2⁴ × 5¹ × 491¹

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 39280

List of positive integer factors of 39280 that divides 39264 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 491, 982, 1964, 2455, 3928, 4910, 7856, 9820, 19640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39264 and 39280. The biggest common factor number is the GCF number.
So the greatest common factor 39264 and 39280 is 16.

Also check out the Least Common Multiple of 39264 and 39280