What is the Greatest Common Factor of 16814 and 16828?

Greatest common factor (GCF) of 16814 and 16828 is 14.

GCF(16814,16828) = 14

We will now calculate the prime factors of 16814 and 16828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16814 and 16828.

How to find the GCF of 16814 and 16828?

We will first find the prime factorization of 16814 and 16828. After we will calculate the factors of 16814 and 16828 and find the biggest common factor number .

Step-1: Prime Factorization of 16814

Prime factors of 16814 are 2, 7, 1201. Prime factorization of 16814 in exponential form is:

16814 = 2¹ × 7¹ × 1201¹

Step-2: Prime Factorization of 16828

Prime factors of 16828 are 2, 7, 601. Prime factorization of 16828 in exponential form is:

16828 = 2² × 7¹ × 601¹

Step-3: Factors of 16814

List of positive integer factors of 16814 that divides 16814 without a remainder.

1, 2, 7, 14, 1201, 2402, 8407

Step-4: Factors of 16828

List of positive integer factors of 16828 that divides 16814 without a remainder.

1, 2, 4, 7, 14, 28, 601, 1202, 2404, 4207, 8414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16814 and 16828. The biggest common factor number is the GCF number.
So the greatest common factor 16814 and 16828 is 14.

Also check out the Least Common Multiple of 16814 and 16828