What is the Greatest Common Factor of 3840 and 3853?

Greatest common factor (GCF) of 3840 and 3853 is 1.

GCF(3840,3853) = 1

We will now calculate the prime factors of 3840 and 3853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3840 and 3853.

How to find the GCF of 3840 and 3853?

We will first find the prime factorization of 3840 and 3853. After we will calculate the factors of 3840 and 3853 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 3853

Prime factors of 3853 are 3853. Prime factorization of 3853 in exponential form is:

3853 = 3853¹

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 3853

List of positive integer factors of 3853 that divides 3840 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3840 and 3853. The biggest common factor number is the GCF number.
So the greatest common factor 3840 and 3853 is 1.

Also check out the Least Common Multiple of 3840 and 3853