What is the Greatest Common Factor of 16829 and 16842?

Greatest common factor (GCF) of 16829 and 16842 is 1.

GCF(16829,16842) = 1

We will now calculate the prime factors of 16829 and 16842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16829 and 16842.

How to find the GCF of 16829 and 16842?

We will first find the prime factorization of 16829 and 16842. After we will calculate the factors of 16829 and 16842 and find the biggest common factor number .

Step-1: Prime Factorization of 16829

Prime factors of 16829 are 16829. Prime factorization of 16829 in exponential form is:

16829 = 16829¹

Step-2: Prime Factorization of 16842

Prime factors of 16842 are 2, 3, 7, 401. Prime factorization of 16842 in exponential form is:

16842 = 2¹ × 3¹ × 7¹ × 401¹

Step-3: Factors of 16829

List of positive integer factors of 16829 that divides 16829 without a remainder.

Step-4: Factors of 16842

List of positive integer factors of 16842 that divides 16829 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 401, 802, 1203, 2406, 2807, 5614, 8421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16829 and 16842. The biggest common factor number is the GCF number.
So the greatest common factor 16829 and 16842 is 1.

Also check out the Least Common Multiple of 16829 and 16842