What is the Greatest Common Factor of 4608 and 4628?

Greatest common factor (GCF) of 4608 and 4628 is 4.

GCF(4608,4628) = 4

We will now calculate the prime factors of 4608 and 4628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4608 and 4628.

How to find the GCF of 4608 and 4628?

We will first find the prime factorization of 4608 and 4628. After we will calculate the factors of 4608 and 4628 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 4628

Prime factors of 4628 are 2, 13, 89. Prime factorization of 4628 in exponential form is:

4628 = 2² × 13¹ × 89¹

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 4628

List of positive integer factors of 4628 that divides 4608 without a remainder.

1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4608 and 4628. The biggest common factor number is the GCF number.
So the greatest common factor 4608 and 4628 is 4.

Also check out the Least Common Multiple of 4608 and 4628