What is the Greatest Common Factor of 16854 and 16872?

Greatest common factor (GCF) of 16854 and 16872 is 6.

GCF(16854,16872) = 6

We will now calculate the prime factors of 16854 and 16872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16854 and 16872.

How to find the GCF of 16854 and 16872?

We will first find the prime factorization of 16854 and 16872. After we will calculate the factors of 16854 and 16872 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 16872

Prime factors of 16872 are 2, 3, 19, 37. Prime factorization of 16872 in exponential form is:

16872 = 2³ × 3¹ × 19¹ × 37¹

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 16872

List of positive integer factors of 16872 that divides 16854 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 37, 38, 57, 74, 76, 111, 114, 148, 152, 222, 228, 296, 444, 456, 703, 888, 1406, 2109, 2812, 4218, 5624, 8436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16854 and 16872. The biggest common factor number is the GCF number.
So the greatest common factor 16854 and 16872 is 6.

Also check out the Least Common Multiple of 16854 and 16872