What is the Greatest Common Factor of 15822 and 15840?

Greatest common factor (GCF) of 15822 and 15840 is 18.

GCF(15822,15840) = 18

We will now calculate the prime factors of 15822 and 15840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15822 and 15840.

How to find the GCF of 15822 and 15840?

We will first find the prime factorization of 15822 and 15840. After we will calculate the factors of 15822 and 15840 and find the biggest common factor number .

Step-1: Prime Factorization of 15822

Prime factors of 15822 are 2, 3, 293. Prime factorization of 15822 in exponential form is:

15822 = 2¹ × 3³ × 293¹

Step-2: Prime Factorization of 15840

Prime factors of 15840 are 2, 3, 5, 11. Prime factorization of 15840 in exponential form is:

15840 = 2⁵ × 3² × 5¹ × 11¹

Step-3: Factors of 15822

List of positive integer factors of 15822 that divides 15822 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 293, 586, 879, 1758, 2637, 5274, 7911

Step-4: Factors of 15840

List of positive integer factors of 15840 that divides 15822 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 32, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 96, 99, 110, 120, 132, 144, 160, 165, 176, 180, 198, 220, 240, 264, 288, 330, 352, 360, 396, 440, 480, 495, 528, 660, 720, 792, 880, 990, 1056, 1320, 1440, 1584, 1760, 1980, 2640, 3168, 3960, 5280, 7920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15822 and 15840. The biggest common factor number is the GCF number.
So the greatest common factor 15822 and 15840 is 18.

Also check out the Least Common Multiple of 15822 and 15840