What is the Greatest Common Factor of 16949 and 16966?

Greatest common factor (GCF) of 16949 and 16966 is 17.

GCF(16949,16966) = 17

We will now calculate the prime factors of 16949 and 16966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16949 and 16966.

How to find the GCF of 16949 and 16966?

We will first find the prime factorization of 16949 and 16966. After we will calculate the factors of 16949 and 16966 and find the biggest common factor number .

Step-1: Prime Factorization of 16949

Prime factors of 16949 are 17, 997. Prime factorization of 16949 in exponential form is:

16949 = 17¹ × 997¹

Step-2: Prime Factorization of 16966

Prime factors of 16966 are 2, 17, 499. Prime factorization of 16966 in exponential form is:

16966 = 2¹ × 17¹ × 499¹

Step-3: Factors of 16949

List of positive integer factors of 16949 that divides 16949 without a remainder.

1, 17, 997

Step-4: Factors of 16966

List of positive integer factors of 16966 that divides 16949 without a remainder.

1, 2, 17, 34, 499, 998, 8483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16949 and 16966. The biggest common factor number is the GCF number.
So the greatest common factor 16949 and 16966 is 17.

Also check out the Least Common Multiple of 16949 and 16966