What is the Greatest Common Factor of 28582 and 28599?

Greatest common factor (GCF) of 28582 and 28599 is 1.

GCF(28582,28599) = 1

We will now calculate the prime factors of 28582 and 28599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28582 and 28599.

How to find the GCF of 28582 and 28599?

We will first find the prime factorization of 28582 and 28599. After we will calculate the factors of 28582 and 28599 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 28599

Prime factors of 28599 are 3, 9533. Prime factorization of 28599 in exponential form is:

28599 = 3¹ × 9533¹

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 28599

List of positive integer factors of 28599 that divides 28582 without a remainder.

1, 3, 9533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28582 and 28599. The biggest common factor number is the GCF number.
So the greatest common factor 28582 and 28599 is 1.

Also check out the Least Common Multiple of 28582 and 28599