What is the Greatest Common Factor of 28564 and 28582?

Greatest common factor (GCF) of 28564 and 28582 is 2.

GCF(28564,28582) = 2

We will now calculate the prime factors of 28564 and 28582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28564 and 28582.

How to find the GCF of 28564 and 28582?

We will first find the prime factorization of 28564 and 28582. After we will calculate the factors of 28564 and 28582 and find the biggest common factor number .

Step-1: Prime Factorization of 28564

Prime factors of 28564 are 2, 37, 193. Prime factorization of 28564 in exponential form is:

28564 = 2² × 37¹ × 193¹

Step-2: Prime Factorization of 28582

Prime factors of 28582 are 2, 31, 461. Prime factorization of 28582 in exponential form is:

28582 = 2¹ × 31¹ × 461¹

Step-3: Factors of 28564

List of positive integer factors of 28564 that divides 28564 without a remainder.

1, 2, 4, 37, 74, 148, 193, 386, 772, 7141, 14282

Step-4: Factors of 28582

List of positive integer factors of 28582 that divides 28564 without a remainder.

1, 2, 31, 62, 461, 922, 14291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28564 and 28582. The biggest common factor number is the GCF number.
So the greatest common factor 28564 and 28582 is 2.

Also check out the Least Common Multiple of 28564 and 28582