What is the Greatest Common Factor of 4608 and 4617?

Greatest common factor (GCF) of 4608 and 4617 is 9.

GCF(4608,4617) = 9

We will now calculate the prime factors of 4608 and 4617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4608 and 4617.

How to find the GCF of 4608 and 4617?

We will first find the prime factorization of 4608 and 4617. After we will calculate the factors of 4608 and 4617 and find the biggest common factor number .

Step-1: Prime Factorization of 4608

Prime factors of 4608 are 2, 3. Prime factorization of 4608 in exponential form is:

4608 = 2⁹ × 3²

Step-2: Prime Factorization of 4617

Prime factors of 4617 are 3, 19. Prime factorization of 4617 in exponential form is:

4617 = 3⁵ × 19¹

Step-3: Factors of 4608

List of positive integer factors of 4608 that divides 4608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152, 1536, 2304

Step-4: Factors of 4617

List of positive integer factors of 4617 that divides 4608 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4608 and 4617. The biggest common factor number is the GCF number.
So the greatest common factor 4608 and 4617 is 9.

Also check out the Least Common Multiple of 4608 and 4617