What is the Greatest Common Factor of 33909 and 33924?

Greatest common factor (GCF) of 33909 and 33924 is 3.

GCF(33909,33924) = 3

We will now calculate the prime factors of 33909 and 33924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33909 and 33924.

How to find the GCF of 33909 and 33924?

We will first find the prime factorization of 33909 and 33924. After we will calculate the factors of 33909 and 33924 and find the biggest common factor number .

Step-1: Prime Factorization of 33909

Prime factors of 33909 are 3, 89, 127. Prime factorization of 33909 in exponential form is:

33909 = 3¹ × 89¹ × 127¹

Step-2: Prime Factorization of 33924

Prime factors of 33924 are 2, 3, 11, 257. Prime factorization of 33924 in exponential form is:

33924 = 2² × 3¹ × 11¹ × 257¹

Step-3: Factors of 33909

List of positive integer factors of 33909 that divides 33909 without a remainder.

1, 3, 89, 127, 267, 381, 11303

Step-4: Factors of 33924

List of positive integer factors of 33924 that divides 33909 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 257, 514, 771, 1028, 1542, 2827, 3084, 5654, 8481, 11308, 16962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33909 and 33924. The biggest common factor number is the GCF number.
So the greatest common factor 33909 and 33924 is 3.

Also check out the Least Common Multiple of 33909 and 33924