What is the Greatest Common Factor of 33946 and 33963?

Greatest common factor (GCF) of 33946 and 33963 is 1.

GCF(33946,33963) = 1

We will now calculate the prime factors of 33946 and 33963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33946 and 33963.

How to find the GCF of 33946 and 33963?

We will first find the prime factorization of 33946 and 33963. After we will calculate the factors of 33946 and 33963 and find the biggest common factor number .

Step-1: Prime Factorization of 33946

Prime factors of 33946 are 2, 11, 1543. Prime factorization of 33946 in exponential form is:

33946 = 2¹ × 11¹ × 1543¹

Step-2: Prime Factorization of 33963

Prime factors of 33963 are 3, 11321. Prime factorization of 33963 in exponential form is:

33963 = 3¹ × 11321¹

Step-3: Factors of 33946

List of positive integer factors of 33946 that divides 33946 without a remainder.

1, 2, 11, 22, 1543, 3086, 16973

Step-4: Factors of 33963

List of positive integer factors of 33963 that divides 33946 without a remainder.

1, 3, 11321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33946 and 33963. The biggest common factor number is the GCF number.
So the greatest common factor 33946 and 33963 is 1.

Also check out the Least Common Multiple of 33946 and 33963