What is the Greatest Common Factor of 4582 and 4588?

Greatest common factor (GCF) of 4582 and 4588 is 2.

GCF(4582,4588) = 2

We will now calculate the prime factors of 4582 and 4588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4582 and 4588.

How to find the GCF of 4582 and 4588?

We will first find the prime factorization of 4582 and 4588. After we will calculate the factors of 4582 and 4588 and find the biggest common factor number .

Step-1: Prime Factorization of 4582

Prime factors of 4582 are 2, 29, 79. Prime factorization of 4582 in exponential form is:

4582 = 2¹ × 29¹ × 79¹

Step-2: Prime Factorization of 4588

Prime factors of 4588 are 2, 31, 37. Prime factorization of 4588 in exponential form is:

4588 = 2² × 31¹ × 37¹

Step-3: Factors of 4582

List of positive integer factors of 4582 that divides 4582 without a remainder.

1, 2, 29, 58, 79, 158, 2291

Step-4: Factors of 4588

List of positive integer factors of 4588 that divides 4582 without a remainder.

1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4582 and 4588. The biggest common factor number is the GCF number.
So the greatest common factor 4582 and 4588 is 2.

Also check out the Least Common Multiple of 4582 and 4588