What is the Greatest Common Factor of 4590 and 4600?

Greatest common factor (GCF) of 4590 and 4600 is 10.

GCF(4590,4600) = 10

We will now calculate the prime factors of 4590 and 4600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4590 and 4600.

How to find the GCF of 4590 and 4600?

We will first find the prime factorization of 4590 and 4600. After we will calculate the factors of 4590 and 4600 and find the biggest common factor number .

Step-1: Prime Factorization of 4590

Prime factors of 4590 are 2, 3, 5, 17. Prime factorization of 4590 in exponential form is:

4590 = 2¹ × 3³ × 5¹ × 17¹

Step-2: Prime Factorization of 4600

Prime factors of 4600 are 2, 5, 23. Prime factorization of 4600 in exponential form is:

4600 = 2³ × 5² × 23¹

Step-3: Factors of 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295

Step-4: Factors of 4600

List of positive integer factors of 4600 that divides 4590 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4590 and 4600. The biggest common factor number is the GCF number.
So the greatest common factor 4590 and 4600 is 10.

Also check out the Least Common Multiple of 4590 and 4600