What is the Greatest Common Factor of 16854 and 16858?

Greatest common factor (GCF) of 16854 and 16858 is 2.

GCF(16854,16858) = 2

We will now calculate the prime factors of 16854 and 16858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16854 and 16858.

How to find the GCF of 16854 and 16858?

We will first find the prime factorization of 16854 and 16858. After we will calculate the factors of 16854 and 16858 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 16858

Prime factors of 16858 are 2, 8429. Prime factorization of 16858 in exponential form is:

16858 = 2¹ × 8429¹

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 16858

List of positive integer factors of 16858 that divides 16854 without a remainder.

1, 2, 8429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16854 and 16858. The biggest common factor number is the GCF number.
So the greatest common factor 16854 and 16858 is 2.

Also check out the Least Common Multiple of 16854 and 16858