What is the Greatest Common Factor of 4599 and 4611?

Greatest common factor (GCF) of 4599 and 4611 is 3.

GCF(4599,4611) = 3

We will now calculate the prime factors of 4599 and 4611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4599 and 4611.

How to find the GCF of 4599 and 4611?

We will first find the prime factorization of 4599 and 4611. After we will calculate the factors of 4599 and 4611 and find the biggest common factor number .

Step-1: Prime Factorization of 4599

Prime factors of 4599 are 3, 7, 73. Prime factorization of 4599 in exponential form is:

4599 = 3² × 7¹ × 73¹

Step-2: Prime Factorization of 4611

Prime factors of 4611 are 3, 29, 53. Prime factorization of 4611 in exponential form is:

4611 = 3¹ × 29¹ × 53¹

Step-3: Factors of 4599

List of positive integer factors of 4599 that divides 4599 without a remainder.

1, 3, 7, 9, 21, 63, 73, 219, 511, 657, 1533

Step-4: Factors of 4611

List of positive integer factors of 4611 that divides 4599 without a remainder.

1, 3, 29, 53, 87, 159, 1537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4599 and 4611. The biggest common factor number is the GCF number.
So the greatest common factor 4599 and 4611 is 3.

Also check out the Least Common Multiple of 4599 and 4611