What is the Greatest Common Factor of 6627 and 6633?

Greatest common factor (GCF) of 6627 and 6633 is 3.

GCF(6627,6633) = 3

We will now calculate the prime factors of 6627 and 6633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6627 and 6633.

How to find the GCF of 6627 and 6633?

We will first find the prime factorization of 6627 and 6633. After we will calculate the factors of 6627 and 6633 and find the biggest common factor number .

Step-1: Prime Factorization of 6627

Prime factors of 6627 are 3, 47. Prime factorization of 6627 in exponential form is:

6627 = 3¹ × 47²

Step-2: Prime Factorization of 6633

Prime factors of 6633 are 3, 11, 67. Prime factorization of 6633 in exponential form is:

6633 = 3² × 11¹ × 67¹

Step-3: Factors of 6627

List of positive integer factors of 6627 that divides 6627 without a remainder.

1, 3, 47, 141, 2209

Step-4: Factors of 6633

List of positive integer factors of 6633 that divides 6627 without a remainder.

1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6627 and 6633. The biggest common factor number is the GCF number.
So the greatest common factor 6627 and 6633 is 3.

Also check out the Least Common Multiple of 6627 and 6633