What is the Greatest Common Factor of 4653 and 4665?

Greatest common factor (GCF) of 4653 and 4665 is 3.

GCF(4653,4665) = 3

We will now calculate the prime factors of 4653 and 4665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4653 and 4665.

How to find the GCF of 4653 and 4665?

We will first find the prime factorization of 4653 and 4665. After we will calculate the factors of 4653 and 4665 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 4665

Prime factors of 4665 are 3, 5, 311. Prime factorization of 4665 in exponential form is:

4665 = 3¹ × 5¹ × 311¹

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 4665

List of positive integer factors of 4665 that divides 4653 without a remainder.

1, 3, 5, 15, 311, 933, 1555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4653 and 4665. The biggest common factor number is the GCF number.
So the greatest common factor 4653 and 4665 is 3.

Also check out the Least Common Multiple of 4653 and 4665