What is the Greatest Common Factor of 28580 and 28594?

Greatest common factor (GCF) of 28580 and 28594 is 2.

GCF(28580,28594) = 2

We will now calculate the prime factors of 28580 and 28594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28580 and 28594.

How to find the GCF of 28580 and 28594?

We will first find the prime factorization of 28580 and 28594. After we will calculate the factors of 28580 and 28594 and find the biggest common factor number .

Step-1: Prime Factorization of 28580

Prime factors of 28580 are 2, 5, 1429. Prime factorization of 28580 in exponential form is:

28580 = 2² × 5¹ × 1429¹

Step-2: Prime Factorization of 28594

Prime factors of 28594 are 2, 17, 29. Prime factorization of 28594 in exponential form is:

28594 = 2¹ × 17¹ × 29²

Step-3: Factors of 28580

List of positive integer factors of 28580 that divides 28580 without a remainder.

1, 2, 4, 5, 10, 20, 1429, 2858, 5716, 7145, 14290

Step-4: Factors of 28594

List of positive integer factors of 28594 that divides 28580 without a remainder.

1, 2, 17, 29, 34, 58, 493, 841, 986, 1682, 14297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28580 and 28594. The biggest common factor number is the GCF number.
So the greatest common factor 28580 and 28594 is 2.

Also check out the Least Common Multiple of 28580 and 28594