What is the Greatest Common Factor of 28564 and 28583?

Greatest common factor (GCF) of 28564 and 28583 is 1.

GCF(28564,28583) = 1

We will now calculate the prime factors of 28564 and 28583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28564 and 28583.

How to find the GCF of 28564 and 28583?

We will first find the prime factorization of 28564 and 28583. After we will calculate the factors of 28564 and 28583 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 28583

Prime factors of 28583 are 101, 283. Prime factorization of 28583 in exponential form is:

28583 = 101¹ × 283¹

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 28583

List of positive integer factors of 28583 that divides 28564 without a remainder.

1, 101, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28564 and 28583. The biggest common factor number is the GCF number.
So the greatest common factor 28564 and 28583 is 1.

Also check out the Least Common Multiple of 28564 and 28583