What is the Greatest Common Factor of 16842 and 16852?

Greatest common factor (GCF) of 16842 and 16852 is 2.

GCF(16842,16852) = 2

We will now calculate the prime factors of 16842 and 16852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16842 and 16852.

How to find the GCF of 16842 and 16852?

We will first find the prime factorization of 16842 and 16852. After we will calculate the factors of 16842 and 16852 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16852

Prime factors of 16852 are 2, 11, 383. Prime factorization of 16852 in exponential form is:

16852 = 2² × 11¹ × 383¹

Step-3: Factors of 16842

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

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

Step-4: Factors of 16852

List of positive integer factors of 16852 that divides 16842 without a remainder.

1, 2, 4, 11, 22, 44, 383, 766, 1532, 4213, 8426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16842 and 16852. The biggest common factor number is the GCF number.
So the greatest common factor 16842 and 16852 is 2.

Also check out the Least Common Multiple of 16842 and 16852