What is the Greatest Common Factor of 30924 and 30938?

Greatest common factor (GCF) of 30924 and 30938 is 2.

GCF(30924,30938) = 2

We will now calculate the prime factors of 30924 and 30938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30924 and 30938.

How to find the GCF of 30924 and 30938?

We will first find the prime factorization of 30924 and 30938. After we will calculate the factors of 30924 and 30938 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 30938

Prime factors of 30938 are 2, 31, 499. Prime factorization of 30938 in exponential form is:

30938 = 2¹ × 31¹ × 499¹

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 30938

List of positive integer factors of 30938 that divides 30924 without a remainder.

1, 2, 31, 62, 499, 998, 15469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30924 and 30938. The biggest common factor number is the GCF number.
So the greatest common factor 30924 and 30938 is 2.

Also check out the Least Common Multiple of 30924 and 30938