What is the Greatest Common Factor of 16832 and 16842?

Greatest common factor (GCF) of 16832 and 16842 is 2.

GCF(16832,16842) = 2

We will now calculate the prime factors of 16832 and 16842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16832 and 16842.

How to find the GCF of 16832 and 16842?

We will first find the prime factorization of 16832 and 16842. After we will calculate the factors of 16832 and 16842 and find the biggest common factor number .

Step-1: Prime Factorization of 16832

Prime factors of 16832 are 2, 263. Prime factorization of 16832 in exponential form is:

16832 = 2⁶ × 263¹

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 16832

List of positive integer factors of 16832 that divides 16832 without a remainder.

1, 2, 4, 8, 16, 32, 64, 263, 526, 1052, 2104, 4208, 8416

Step-4: Factors of 16842

List of positive integer factors of 16842 that divides 16832 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 16832 and 16842. The biggest common factor number is the GCF number.
So the greatest common factor 16832 and 16842 is 2.

Also check out the Least Common Multiple of 16832 and 16842