What is the Greatest Common Factor of 28930 and 28934?

Greatest common factor (GCF) of 28930 and 28934 is 2.

GCF(28930,28934) = 2

We will now calculate the prime factors of 28930 and 28934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28930 and 28934.

How to find the GCF of 28930 and 28934?

We will first find the prime factorization of 28930 and 28934. After we will calculate the factors of 28930 and 28934 and find the biggest common factor number .

Step-1: Prime Factorization of 28930

Prime factors of 28930 are 2, 5, 11, 263. Prime factorization of 28930 in exponential form is:

28930 = 2¹ × 5¹ × 11¹ × 263¹

Step-2: Prime Factorization of 28934

Prime factors of 28934 are 2, 17, 23, 37. Prime factorization of 28934 in exponential form is:

28934 = 2¹ × 17¹ × 23¹ × 37¹

Step-3: Factors of 28930

List of positive integer factors of 28930 that divides 28930 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 263, 526, 1315, 2630, 2893, 5786, 14465

Step-4: Factors of 28934

List of positive integer factors of 28934 that divides 28930 without a remainder.

1, 2, 17, 23, 34, 37, 46, 74, 391, 629, 782, 851, 1258, 1702, 14467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28930 and 28934. The biggest common factor number is the GCF number.
So the greatest common factor 28930 and 28934 is 2.

Also check out the Least Common Multiple of 28930 and 28934