What is the Greatest Common Factor of 39248 and 39264?

Greatest common factor (GCF) of 39248 and 39264 is 16.

GCF(39248,39264) = 16

We will now calculate the prime factors of 39248 and 39264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39248 and 39264.

How to find the GCF of 39248 and 39264?

We will first find the prime factorization of 39248 and 39264. After we will calculate the factors of 39248 and 39264 and find the biggest common factor number .

Step-1: Prime Factorization of 39248

Prime factors of 39248 are 2, 11, 223. Prime factorization of 39248 in exponential form is:

39248 = 2⁴ × 11¹ × 223¹

Step-2: 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-3: Factors of 39248

List of positive integer factors of 39248 that divides 39248 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 223, 446, 892, 1784, 2453, 3568, 4906, 9812, 19624

Step-4: Factors of 39264

List of positive integer factors of 39264 that divides 39248 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39248 and 39264. The biggest common factor number is the GCF number.
So the greatest common factor 39248 and 39264 is 16.

Also check out the Least Common Multiple of 39248 and 39264