What is the Greatest Common Factor of 3840 and 3856?

Greatest common factor (GCF) of 3840 and 3856 is 16.

GCF(3840,3856) = 16

We will now calculate the prime factors of 3840 and 3856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3840 and 3856.

How to find the GCF of 3840 and 3856?

We will first find the prime factorization of 3840 and 3856. After we will calculate the factors of 3840 and 3856 and find the biggest common factor number .

Step-1: Prime Factorization of 3840

Prime factors of 3840 are 2, 3, 5. Prime factorization of 3840 in exponential form is:

3840 = 2⁸ × 3¹ × 5¹

Step-2: Prime Factorization of 3856

Prime factors of 3856 are 2, 241. Prime factorization of 3856 in exponential form is:

3856 = 2⁴ × 241¹

Step-3: Factors of 3840

List of positive integer factors of 3840 that divides 3840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920

Step-4: Factors of 3856

List of positive integer factors of 3856 that divides 3840 without a remainder.

1, 2, 4, 8, 16, 241, 482, 964, 1928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3840 and 3856. The biggest common factor number is the GCF number.
So the greatest common factor 3840 and 3856 is 16.

Also check out the Least Common Multiple of 3840 and 3856