What is the Greatest Common Factor of 33668 and 33687?

Greatest common factor (GCF) of 33668 and 33687 is 19.

GCF(33668,33687) = 19

We will now calculate the prime factors of 33668 and 33687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33668 and 33687.

How to find the GCF of 33668 and 33687?

We will first find the prime factorization of 33668 and 33687. After we will calculate the factors of 33668 and 33687 and find the biggest common factor number .

Step-1: Prime Factorization of 33668

Prime factors of 33668 are 2, 19, 443. Prime factorization of 33668 in exponential form is:

33668 = 2² × 19¹ × 443¹

Step-2: 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-3: Factors of 33668

List of positive integer factors of 33668 that divides 33668 without a remainder.

1, 2, 4, 19, 38, 76, 443, 886, 1772, 8417, 16834

Step-4: Factors of 33687

List of positive integer factors of 33687 that divides 33668 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33668 and 33687. The biggest common factor number is the GCF number.
So the greatest common factor 33668 and 33687 is 19.

Also check out the Least Common Multiple of 33668 and 33687