What is the Greatest Common Factor of 16946 and 16960?

Greatest common factor (GCF) of 16946 and 16960 is 2.

GCF(16946,16960) = 2

We will now calculate the prime factors of 16946 and 16960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16946 and 16960.

How to find the GCF of 16946 and 16960?

We will first find the prime factorization of 16946 and 16960. After we will calculate the factors of 16946 and 16960 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 16960

Prime factors of 16960 are 2, 5, 53. Prime factorization of 16960 in exponential form is:

16960 = 2⁶ × 5¹ × 53¹

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 16960

List of positive integer factors of 16960 that divides 16946 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 64, 80, 106, 160, 212, 265, 320, 424, 530, 848, 1060, 1696, 2120, 3392, 4240, 8480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16946 and 16960. The biggest common factor number is the GCF number.
So the greatest common factor 16946 and 16960 is 2.

Also check out the Least Common Multiple of 16946 and 16960