What is the Greatest Common Factor of 33920 and 33928?

Greatest common factor (GCF) of 33920 and 33928 is 8.

GCF(33920,33928) = 8

We will now calculate the prime factors of 33920 and 33928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33920 and 33928.

How to find the GCF of 33920 and 33928?

We will first find the prime factorization of 33920 and 33928. After we will calculate the factors of 33920 and 33928 and find the biggest common factor number .

Step-1: Prime Factorization of 33920

Prime factors of 33920 are 2, 5, 53. Prime factorization of 33920 in exponential form is:

33920 = 2⁷ × 5¹ × 53¹

Step-2: Prime Factorization of 33928

Prime factors of 33928 are 2, 4241. Prime factorization of 33928 in exponential form is:

33928 = 2³ × 4241¹

Step-3: Factors of 33920

List of positive integer factors of 33920 that divides 33920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 64, 80, 106, 128, 160, 212, 265, 320, 424, 530, 640, 848, 1060, 1696, 2120, 3392, 4240, 6784, 8480, 16960

Step-4: Factors of 33928

List of positive integer factors of 33928 that divides 33920 without a remainder.

1, 2, 4, 8, 4241, 8482, 16964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33920 and 33928. The biggest common factor number is the GCF number.
So the greatest common factor 33920 and 33928 is 8.

Also check out the Least Common Multiple of 33920 and 33928