What is the Greatest Common Factor of 3822 and 3840?

Greatest common factor (GCF) of 3822 and 3840 is 6.

GCF(3822,3840) = 6

We will now calculate the prime factors of 3822 and 3840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3822 and 3840.

How to find the GCF of 3822 and 3840?

We will first find the prime factorization of 3822 and 3840. After we will calculate the factors of 3822 and 3840 and find the biggest common factor number .

Step-1: Prime Factorization of 3822

Prime factors of 3822 are 2, 3, 7, 13. Prime factorization of 3822 in exponential form is:

3822 = 2¹ × 3¹ × 7² × 13¹

Step-2: 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-3: Factors of 3822

List of positive integer factors of 3822 that divides 3822 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911

Step-4: Factors of 3840

List of positive integer factors of 3840 that divides 3822 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3822 and 3840. The biggest common factor number is the GCF number.
So the greatest common factor 3822 and 3840 is 6.

Also check out the Least Common Multiple of 3822 and 3840