What is the Greatest Common Factor of 33932 and 33946?

Greatest common factor (GCF) of 33932 and 33946 is 2.

GCF(33932,33946) = 2

We will now calculate the prime factors of 33932 and 33946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33932 and 33946.

How to find the GCF of 33932 and 33946?

We will first find the prime factorization of 33932 and 33946. After we will calculate the factors of 33932 and 33946 and find the biggest common factor number .

Step-1: Prime Factorization of 33932

Prime factors of 33932 are 2, 17, 499. Prime factorization of 33932 in exponential form is:

33932 = 2² × 17¹ × 499¹

Step-2: 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-3: Factors of 33932

List of positive integer factors of 33932 that divides 33932 without a remainder.

1, 2, 4, 17, 34, 68, 499, 998, 1996, 8483, 16966

Step-4: Factors of 33946

List of positive integer factors of 33946 that divides 33932 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33932 and 33946. The biggest common factor number is the GCF number.
So the greatest common factor 33932 and 33946 is 2.

Also check out the Least Common Multiple of 33932 and 33946