What is the Greatest Common Factor of 28582 and 28591?

Greatest common factor (GCF) of 28582 and 28591 is 1.

GCF(28582,28591) = 1

We will now calculate the prime factors of 28582 and 28591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28582 and 28591.

How to find the GCF of 28582 and 28591?

We will first find the prime factorization of 28582 and 28591. After we will calculate the factors of 28582 and 28591 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28591

Prime factors of 28591 are 28591. Prime factorization of 28591 in exponential form is:

28591 = 28591¹

Step-3: Factors of 28582

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

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

Step-4: Factors of 28591

List of positive integer factors of 28591 that divides 28582 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28582 and 28591. The biggest common factor number is the GCF number.
So the greatest common factor 28582 and 28591 is 1.

Also check out the Least Common Multiple of 28582 and 28591