What is the Greatest Common Factor of 17953 and 17966?

Greatest common factor (GCF) of 17953 and 17966 is 13.

GCF(17953,17966) = 13

We will now calculate the prime factors of 17953 and 17966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17953 and 17966.

How to find the GCF of 17953 and 17966?

We will first find the prime factorization of 17953 and 17966. After we will calculate the factors of 17953 and 17966 and find the biggest common factor number .

Step-1: Prime Factorization of 17953

Prime factors of 17953 are 13, 1381. Prime factorization of 17953 in exponential form is:

17953 = 13¹ × 1381¹

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 17953

List of positive integer factors of 17953 that divides 17953 without a remainder.

1, 13, 1381

Step-4: Factors of 17966

List of positive integer factors of 17966 that divides 17953 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17953 and 17966. The biggest common factor number is the GCF number.
So the greatest common factor 17953 and 17966 is 13.

Also check out the Least Common Multiple of 17953 and 17966