What is the Greatest Common Factor of 4580 and 4586?

Greatest common factor (GCF) of 4580 and 4586 is 2.

GCF(4580,4586) = 2

We will now calculate the prime factors of 4580 and 4586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4580 and 4586.

How to find the GCF of 4580 and 4586?

We will first find the prime factorization of 4580 and 4586. After we will calculate the factors of 4580 and 4586 and find the biggest common factor number .

Step-1: Prime Factorization of 4580

Prime factors of 4580 are 2, 5, 229. Prime factorization of 4580 in exponential form is:

4580 = 2² × 5¹ × 229¹

Step-2: Prime Factorization of 4586

Prime factors of 4586 are 2, 2293. Prime factorization of 4586 in exponential form is:

4586 = 2¹ × 2293¹

Step-3: Factors of 4580

List of positive integer factors of 4580 that divides 4580 without a remainder.

1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290

Step-4: Factors of 4586

List of positive integer factors of 4586 that divides 4580 without a remainder.

1, 2, 2293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4580 and 4586. The biggest common factor number is the GCF number.
So the greatest common factor 4580 and 4586 is 2.

Also check out the Least Common Multiple of 4580 and 4586