What is the Greatest Common Factor of 4608 and 4623?

Greatest common factor (GCF) of 4608 and 4623 is 3.

GCF(4608,4623) = 3

We will now calculate the prime factors of 4608 and 4623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4608 and 4623.

How to find the GCF of 4608 and 4623?

We will first find the prime factorization of 4608 and 4623. After we will calculate the factors of 4608 and 4623 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 4623

Prime factors of 4623 are 3, 23, 67. Prime factorization of 4623 in exponential form is:

4623 = 3¹ × 23¹ × 67¹

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 4623

List of positive integer factors of 4623 that divides 4608 without a remainder.

1, 3, 23, 67, 69, 201, 1541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4608 and 4623. The biggest common factor number is the GCF number.
So the greatest common factor 4608 and 4623 is 3.

Also check out the Least Common Multiple of 4608 and 4623