What is the Greatest Common Factor of 33378 and 33386?

Greatest common factor (GCF) of 33378 and 33386 is 2.

GCF(33378,33386) = 2

We will now calculate the prime factors of 33378 and 33386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33378 and 33386.

How to find the GCF of 33378 and 33386?

We will first find the prime factorization of 33378 and 33386. After we will calculate the factors of 33378 and 33386 and find the biggest common factor number .

Step-1: Prime Factorization of 33378

Prime factors of 33378 are 2, 3, 5563. Prime factorization of 33378 in exponential form is:

33378 = 2¹ × 3¹ × 5563¹

Step-2: Prime Factorization of 33386

Prime factors of 33386 are 2, 16693. Prime factorization of 33386 in exponential form is:

33386 = 2¹ × 16693¹

Step-3: Factors of 33378

List of positive integer factors of 33378 that divides 33378 without a remainder.

1, 2, 3, 6, 5563, 11126, 16689

Step-4: Factors of 33386

List of positive integer factors of 33386 that divides 33378 without a remainder.

1, 2, 16693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33378 and 33386. The biggest common factor number is the GCF number.
So the greatest common factor 33378 and 33386 is 2.

Also check out the Least Common Multiple of 33378 and 33386