What is the Greatest Common Factor of 15828 and 15840?

Greatest common factor (GCF) of 15828 and 15840 is 12.

GCF(15828,15840) = 12

We will now calculate the prime factors of 15828 and 15840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15828 and 15840.

How to find the GCF of 15828 and 15840?

We will first find the prime factorization of 15828 and 15840. After we will calculate the factors of 15828 and 15840 and find the biggest common factor number .

Step-1: Prime Factorization of 15828

Prime factors of 15828 are 2, 3, 1319. Prime factorization of 15828 in exponential form is:

15828 = 2² × 3¹ × 1319¹

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 15828

List of positive integer factors of 15828 that divides 15828 without a remainder.

1, 2, 3, 4, 6, 12, 1319, 2638, 3957, 5276, 7914

Step-4: Factors of 15840

List of positive integer factors of 15840 that divides 15828 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 15828 and 15840. The biggest common factor number is the GCF number.
So the greatest common factor 15828 and 15840 is 12.

Also check out the Least Common Multiple of 15828 and 15840