What is the Greatest Common Factor of 4593 and 4602?

Greatest common factor (GCF) of 4593 and 4602 is 3.

GCF(4593,4602) = 3

We will now calculate the prime factors of 4593 and 4602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4593 and 4602.

How to find the GCF of 4593 and 4602?

We will first find the prime factorization of 4593 and 4602. After we will calculate the factors of 4593 and 4602 and find the biggest common factor number .

Step-1: Prime Factorization of 4593

Prime factors of 4593 are 3, 1531. Prime factorization of 4593 in exponential form is:

4593 = 3¹ × 1531¹

Step-2: Prime Factorization of 4602

Prime factors of 4602 are 2, 3, 13, 59. Prime factorization of 4602 in exponential form is:

4602 = 2¹ × 3¹ × 13¹ × 59¹

Step-3: Factors of 4593

List of positive integer factors of 4593 that divides 4593 without a remainder.

1, 3, 1531

Step-4: Factors of 4602

List of positive integer factors of 4602 that divides 4593 without a remainder.

1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4593 and 4602. The biggest common factor number is the GCF number.
So the greatest common factor 4593 and 4602 is 3.

Also check out the Least Common Multiple of 4593 and 4602