What is the Greatest Common Factor of 3840 and 3860?

Greatest common factor (GCF) of 3840 and 3860 is 20.

GCF(3840,3860) = 20

We will now calculate the prime factors of 3840 and 3860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3840 and 3860.

How to find the GCF of 3840 and 3860?

We will first find the prime factorization of 3840 and 3860. After we will calculate the factors of 3840 and 3860 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 3860

Prime factors of 3860 are 2, 5, 193. Prime factorization of 3860 in exponential form is:

3860 = 2² × 5¹ × 193¹

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 3860

List of positive integer factors of 3860 that divides 3840 without a remainder.

1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3840 and 3860. The biggest common factor number is the GCF number.
So the greatest common factor 3840 and 3860 is 20.

Also check out the Least Common Multiple of 3840 and 3860