What is the Greatest Common Factor of 4590 and 4607?

Greatest common factor (GCF) of 4590 and 4607 is 17.

GCF(4590,4607) = 17

We will now calculate the prime factors of 4590 and 4607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4590 and 4607.

How to find the GCF of 4590 and 4607?

We will first find the prime factorization of 4590 and 4607. After we will calculate the factors of 4590 and 4607 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 4607

Prime factors of 4607 are 17, 271. Prime factorization of 4607 in exponential form is:

4607 = 17¹ × 271¹

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 4607

List of positive integer factors of 4607 that divides 4590 without a remainder.

1, 17, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4590 and 4607. The biggest common factor number is the GCF number.
So the greatest common factor 4590 and 4607 is 17.

Also check out the Least Common Multiple of 4590 and 4607