What is the Greatest Common Factor of 4629 and 4647?

Greatest common factor (GCF) of 4629 and 4647 is 3.

GCF(4629,4647) = 3

We will now calculate the prime factors of 4629 and 4647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4629 and 4647.

How to find the GCF of 4629 and 4647?

We will first find the prime factorization of 4629 and 4647. After we will calculate the factors of 4629 and 4647 and find the biggest common factor number .

Step-1: Prime Factorization of 4629

Prime factors of 4629 are 3, 1543. Prime factorization of 4629 in exponential form is:

4629 = 3¹ × 1543¹

Step-2: Prime Factorization of 4647

Prime factors of 4647 are 3, 1549. Prime factorization of 4647 in exponential form is:

4647 = 3¹ × 1549¹

Step-3: Factors of 4629

List of positive integer factors of 4629 that divides 4629 without a remainder.

1, 3, 1543

Step-4: Factors of 4647

List of positive integer factors of 4647 that divides 4629 without a remainder.

1, 3, 1549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4629 and 4647. The biggest common factor number is the GCF number.
So the greatest common factor 4629 and 4647 is 3.

Also check out the Least Common Multiple of 4629 and 4647