What is the Greatest Common Factor of 35946 and 35966?

Greatest common factor (GCF) of 35946 and 35966 is 2.

GCF(35946,35966) = 2

We will now calculate the prime factors of 35946 and 35966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35946 and 35966.

How to find the GCF of 35946 and 35966?

We will first find the prime factorization of 35946 and 35966. After we will calculate the factors of 35946 and 35966 and find the biggest common factor number .

Step-1: Prime Factorization of 35946

Prime factors of 35946 are 2, 3, 1997. Prime factorization of 35946 in exponential form is:

35946 = 2¹ × 3² × 1997¹

Step-2: Prime Factorization of 35966

Prime factors of 35966 are 2, 7, 367. Prime factorization of 35966 in exponential form is:

35966 = 2¹ × 7² × 367¹

Step-3: Factors of 35946

List of positive integer factors of 35946 that divides 35946 without a remainder.

1, 2, 3, 6, 9, 18, 1997, 3994, 5991, 11982, 17973

Step-4: Factors of 35966

List of positive integer factors of 35966 that divides 35946 without a remainder.

1, 2, 7, 14, 49, 98, 367, 734, 2569, 5138, 17983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35946 and 35966. The biggest common factor number is the GCF number.
So the greatest common factor 35946 and 35966 is 2.

Also check out the Least Common Multiple of 35946 and 35966