What is the Greatest Common Factor of 16854 and 16863?

Greatest common factor (GCF) of 16854 and 16863 is 3.

GCF(16854,16863) = 3

We will now calculate the prime factors of 16854 and 16863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16854 and 16863.

How to find the GCF of 16854 and 16863?

We will first find the prime factorization of 16854 and 16863. After we will calculate the factors of 16854 and 16863 and find the biggest common factor number .

Step-1: Prime Factorization of 16854

Prime factors of 16854 are 2, 3, 53. Prime factorization of 16854 in exponential form is:

16854 = 2¹ × 3¹ × 53²

Step-2: Prime Factorization of 16863

Prime factors of 16863 are 3, 7, 11, 73. Prime factorization of 16863 in exponential form is:

16863 = 3¹ × 7¹ × 11¹ × 73¹

Step-3: Factors of 16854

List of positive integer factors of 16854 that divides 16854 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318, 2809, 5618, 8427

Step-4: Factors of 16863

List of positive integer factors of 16863 that divides 16854 without a remainder.

1, 3, 7, 11, 21, 33, 73, 77, 219, 231, 511, 803, 1533, 2409, 5621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16854 and 16863. The biggest common factor number is the GCF number.
So the greatest common factor 16854 and 16863 is 3.

Also check out the Least Common Multiple of 16854 and 16863