What is the Greatest Common Factor of 4653 and 4659?

Greatest common factor (GCF) of 4653 and 4659 is 3.

GCF(4653,4659) = 3

We will now calculate the prime factors of 4653 and 4659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4653 and 4659.

How to find the GCF of 4653 and 4659?

We will first find the prime factorization of 4653 and 4659. After we will calculate the factors of 4653 and 4659 and find the biggest common factor number .

Step-1: Prime Factorization of 4653

Prime factors of 4653 are 3, 11, 47. Prime factorization of 4653 in exponential form is:

4653 = 3² × 11¹ × 47¹

Step-2: Prime Factorization of 4659

Prime factors of 4659 are 3, 1553. Prime factorization of 4659 in exponential form is:

4659 = 3¹ × 1553¹

Step-3: Factors of 4653

List of positive integer factors of 4653 that divides 4653 without a remainder.

1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551

Step-4: Factors of 4659

List of positive integer factors of 4659 that divides 4653 without a remainder.

1, 3, 1553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4653 and 4659. The biggest common factor number is the GCF number.
So the greatest common factor 4653 and 4659 is 3.

Also check out the Least Common Multiple of 4653 and 4659