What is the Greatest Common Factor of 17946 and 17966?

Greatest common factor (GCF) of 17946 and 17966 is 2.

GCF(17946,17966) = 2

We will now calculate the prime factors of 17946 and 17966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17946 and 17966.

How to find the GCF of 17946 and 17966?

We will first find the prime factorization of 17946 and 17966. After we will calculate the factors of 17946 and 17966 and find the biggest common factor number .

Step-1: Prime Factorization of 17946

Prime factors of 17946 are 2, 3, 997. Prime factorization of 17946 in exponential form is:

17946 = 2¹ × 3² × 997¹

Step-2: Prime Factorization of 17966

Prime factors of 17966 are 2, 13, 691. Prime factorization of 17966 in exponential form is:

17966 = 2¹ × 13¹ × 691¹

Step-3: Factors of 17946

List of positive integer factors of 17946 that divides 17946 without a remainder.

1, 2, 3, 6, 9, 18, 997, 1994, 2991, 5982, 8973

Step-4: Factors of 17966

List of positive integer factors of 17966 that divides 17946 without a remainder.

1, 2, 13, 26, 691, 1382, 8983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17946 and 17966. The biggest common factor number is the GCF number.
So the greatest common factor 17946 and 17966 is 2.

Also check out the Least Common Multiple of 17946 and 17966