What is the Greatest Common Factor of 4588 and 4605?

Greatest common factor (GCF) of 4588 and 4605 is 1.

GCF(4588,4605) = 1

We will now calculate the prime factors of 4588 and 4605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4588 and 4605.

How to find the GCF of 4588 and 4605?

We will first find the prime factorization of 4588 and 4605. After we will calculate the factors of 4588 and 4605 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4605

Prime factors of 4605 are 3, 5, 307. Prime factorization of 4605 in exponential form is:

4605 = 3¹ × 5¹ × 307¹

Step-3: Factors of 4588

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

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

Step-4: Factors of 4605

List of positive integer factors of 4605 that divides 4588 without a remainder.

1, 3, 5, 15, 307, 921, 1535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4588 and 4605. The biggest common factor number is the GCF number.
So the greatest common factor 4588 and 4605 is 1.

Also check out the Least Common Multiple of 4588 and 4605