What is the Greatest Common Factor of 3840 and 3848?

Greatest common factor (GCF) of 3840 and 3848 is 8.

GCF(3840,3848) = 8

We will now calculate the prime factors of 3840 and 3848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3840 and 3848.

How to find the GCF of 3840 and 3848?

We will first find the prime factorization of 3840 and 3848. After we will calculate the factors of 3840 and 3848 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 3848

Prime factors of 3848 are 2, 13, 37. Prime factorization of 3848 in exponential form is:

3848 = 2³ × 13¹ × 37¹

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 3848

List of positive integer factors of 3848 that divides 3840 without a remainder.

1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3840 and 3848. The biggest common factor number is the GCF number.
So the greatest common factor 3840 and 3848 is 8.

Also check out the Least Common Multiple of 3840 and 3848