What is the Greatest Common Factor of 28934 and 28940?

Greatest common factor (GCF) of 28934 and 28940 is 2.

GCF(28934,28940) = 2

We will now calculate the prime factors of 28934 and 28940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28934 and 28940.

How to find the GCF of 28934 and 28940?

We will first find the prime factorization of 28934 and 28940. After we will calculate the factors of 28934 and 28940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28940

Prime factors of 28940 are 2, 5, 1447. Prime factorization of 28940 in exponential form is:

28940 = 2² × 5¹ × 1447¹

Step-3: Factors of 28934

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

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

Step-4: Factors of 28940

List of positive integer factors of 28940 that divides 28934 without a remainder.

1, 2, 4, 5, 10, 20, 1447, 2894, 5788, 7235, 14470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28934 and 28940. The biggest common factor number is the GCF number.
So the greatest common factor 28934 and 28940 is 2.

Also check out the Least Common Multiple of 28934 and 28940