What is the Greatest Common Factor of 16854 and 16860?

Greatest common factor (GCF) of 16854 and 16860 is 6.

GCF(16854,16860) = 6

We will now calculate the prime factors of 16854 and 16860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16854 and 16860.

How to find the GCF of 16854 and 16860?

We will first find the prime factorization of 16854 and 16860. After we will calculate the factors of 16854 and 16860 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 16860

Prime factors of 16860 are 2, 3, 5, 281. Prime factorization of 16860 in exponential form is:

16860 = 2² × 3¹ × 5¹ × 281¹

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 16860

List of positive integer factors of 16860 that divides 16854 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 281, 562, 843, 1124, 1405, 1686, 2810, 3372, 4215, 5620, 8430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16854 and 16860. The biggest common factor number is the GCF number.
So the greatest common factor 16854 and 16860 is 6.

Also check out the Least Common Multiple of 16854 and 16860