What is the Greatest Common Factor of 3840 and 3852?

Greatest common factor (GCF) of 3840 and 3852 is 12.

GCF(3840,3852) = 12

We will now calculate the prime factors of 3840 and 3852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3840 and 3852.

How to find the GCF of 3840 and 3852?

We will first find the prime factorization of 3840 and 3852. After we will calculate the factors of 3840 and 3852 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 3852

Prime factors of 3852 are 2, 3, 107. Prime factorization of 3852 in exponential form is:

3852 = 2² × 3² × 107¹

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 3852

List of positive integer factors of 3852 that divides 3840 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3840 and 3852. The biggest common factor number is the GCF number.
So the greatest common factor 3840 and 3852 is 12.

Also check out the Least Common Multiple of 3840 and 3852