What is the Greatest Common Factor of 33687 and 33706?

Greatest common factor (GCF) of 33687 and 33706 is 19.

GCF(33687,33706) = 19

We will now calculate the prime factors of 33687 and 33706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33687 and 33706.

How to find the GCF of 33687 and 33706?

We will first find the prime factorization of 33687 and 33706. After we will calculate the factors of 33687 and 33706 and find the biggest common factor number .

Step-1: Prime Factorization of 33687

Prime factors of 33687 are 3, 19, 197. Prime factorization of 33687 in exponential form is:

33687 = 3² × 19¹ × 197¹

Step-2: Prime Factorization of 33706

Prime factors of 33706 are 2, 19, 887. Prime factorization of 33706 in exponential form is:

33706 = 2¹ × 19¹ × 887¹

Step-3: Factors of 33687

List of positive integer factors of 33687 that divides 33687 without a remainder.

1, 3, 9, 19, 57, 171, 197, 591, 1773, 3743, 11229

Step-4: Factors of 33706

List of positive integer factors of 33706 that divides 33687 without a remainder.

1, 2, 19, 38, 887, 1774, 16853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33687 and 33706. The biggest common factor number is the GCF number.
So the greatest common factor 33687 and 33706 is 19.

Also check out the Least Common Multiple of 33687 and 33706