What is the Greatest Common Factor of 16814 and 16826?

Greatest common factor (GCF) of 16814 and 16826 is 2.

GCF(16814,16826) = 2

We will now calculate the prime factors of 16814 and 16826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16814 and 16826.

How to find the GCF of 16814 and 16826?

We will first find the prime factorization of 16814 and 16826. After we will calculate the factors of 16814 and 16826 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 16826

Prime factors of 16826 are 2, 47, 179. Prime factorization of 16826 in exponential form is:

16826 = 2¹ × 47¹ × 179¹

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 16826

List of positive integer factors of 16826 that divides 16814 without a remainder.

1, 2, 47, 94, 179, 358, 8413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16814 and 16826. The biggest common factor number is the GCF number.
So the greatest common factor 16814 and 16826 is 2.

Also check out the Least Common Multiple of 16814 and 16826