What is the Greatest Common Factor of 33314 and 33324?

Greatest common factor (GCF) of 33314 and 33324 is 2.

GCF(33314,33324) = 2

We will now calculate the prime factors of 33314 and 33324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33314 and 33324.

How to find the GCF of 33314 and 33324?

We will first find the prime factorization of 33314 and 33324. After we will calculate the factors of 33314 and 33324 and find the biggest common factor number .

Step-1: Prime Factorization of 33314

Prime factors of 33314 are 2, 16657. Prime factorization of 33314 in exponential form is:

33314 = 2¹ × 16657¹

Step-2: Prime Factorization of 33324

Prime factors of 33324 are 2, 3, 2777. Prime factorization of 33324 in exponential form is:

33324 = 2² × 3¹ × 2777¹

Step-3: Factors of 33314

List of positive integer factors of 33314 that divides 33314 without a remainder.

1, 2, 16657

Step-4: Factors of 33324

List of positive integer factors of 33324 that divides 33314 without a remainder.

1, 2, 3, 4, 6, 12, 2777, 5554, 8331, 11108, 16662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33314 and 33324. The biggest common factor number is the GCF number.
So the greatest common factor 33314 and 33324 is 2.

Also check out the Least Common Multiple of 33314 and 33324