What is the Greatest Common Factor of 16946 and 16952?

Greatest common factor (GCF) of 16946 and 16952 is 2.

GCF(16946,16952) = 2

We will now calculate the prime factors of 16946 and 16952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16946 and 16952.

How to find the GCF of 16946 and 16952?

We will first find the prime factorization of 16946 and 16952. After we will calculate the factors of 16946 and 16952 and find the biggest common factor number .

Step-1: Prime Factorization of 16946

Prime factors of 16946 are 2, 37, 229. Prime factorization of 16946 in exponential form is:

16946 = 2¹ × 37¹ × 229¹

Step-2: Prime Factorization of 16952

Prime factors of 16952 are 2, 13, 163. Prime factorization of 16952 in exponential form is:

16952 = 2³ × 13¹ × 163¹

Step-3: Factors of 16946

List of positive integer factors of 16946 that divides 16946 without a remainder.

1, 2, 37, 74, 229, 458, 8473

Step-4: Factors of 16952

List of positive integer factors of 16952 that divides 16946 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 163, 326, 652, 1304, 2119, 4238, 8476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16946 and 16952. The biggest common factor number is the GCF number.
So the greatest common factor 16946 and 16952 is 2.

Also check out the Least Common Multiple of 16946 and 16952