What is the Greatest Common Factor of 33687 and 33707?

Greatest common factor (GCF) of 33687 and 33707 is 1.

GCF(33687,33707) = 1

We will now calculate the prime factors of 33687 and 33707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33687 and 33707.

How to find the GCF of 33687 and 33707?

We will first find the prime factorization of 33687 and 33707. After we will calculate the factors of 33687 and 33707 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 33707

Prime factors of 33707 are 37, 911. Prime factorization of 33707 in exponential form is:

33707 = 37¹ × 911¹

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 33707

List of positive integer factors of 33707 that divides 33687 without a remainder.

1, 37, 911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33687 and 33707. The biggest common factor number is the GCF number.
So the greatest common factor 33687 and 33707 is 1.

Also check out the Least Common Multiple of 33687 and 33707