What is the Greatest Common Factor of 30928 and 30946?

Greatest common factor (GCF) of 30928 and 30946 is 2.

GCF(30928,30946) = 2

We will now calculate the prime factors of 30928 and 30946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30928 and 30946.

How to find the GCF of 30928 and 30946?

We will first find the prime factorization of 30928 and 30946. After we will calculate the factors of 30928 and 30946 and find the biggest common factor number .

Step-1: Prime Factorization of 30928

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

30928 = 2⁴ × 1933¹

Step-2: Prime Factorization of 30946

Prime factors of 30946 are 2, 15473. Prime factorization of 30946 in exponential form is:

30946 = 2¹ × 15473¹

Step-3: Factors of 30928

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

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

Step-4: Factors of 30946

List of positive integer factors of 30946 that divides 30928 without a remainder.

1, 2, 15473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30928 and 30946. The biggest common factor number is the GCF number.
So the greatest common factor 30928 and 30946 is 2.

Also check out the Least Common Multiple of 30928 and 30946