What is the Greatest Common Factor of 30924 and 30928?

Greatest common factor (GCF) of 30924 and 30928 is 4.

GCF(30924,30928) = 4

We will now calculate the prime factors of 30924 and 30928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30924 and 30928.

How to find the GCF of 30924 and 30928?

We will first find the prime factorization of 30924 and 30928. After we will calculate the factors of 30924 and 30928 and find the biggest common factor number .

Step-1: Prime Factorization of 30924

Prime factors of 30924 are 2, 3, 859. Prime factorization of 30924 in exponential form is:

30924 = 2² × 3² × 859¹

Step-2: Prime Factorization of 30928

Prime factors of 30928 are 2, 1933. Prime factorization of 30928 in exponential form is:

30928 = 2⁴ × 1933¹

Step-3: Factors of 30924

List of positive integer factors of 30924 that divides 30924 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 859, 1718, 2577, 3436, 5154, 7731, 10308, 15462

Step-4: Factors of 30928

List of positive integer factors of 30928 that divides 30924 without a remainder.

1, 2, 4, 8, 16, 1933, 3866, 7732, 15464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30924 and 30928. The biggest common factor number is the GCF number.
So the greatest common factor 30924 and 30928 is 4.

Also check out the Least Common Multiple of 30924 and 30928