What is the Greatest Common Factor of 6633 and 6644?

Greatest common factor (GCF) of 6633 and 6644 is 11.

GCF(6633,6644) = 11

We will now calculate the prime factors of 6633 and 6644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6633 and 6644.

How to find the GCF of 6633 and 6644?

We will first find the prime factorization of 6633 and 6644. After we will calculate the factors of 6633 and 6644 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6644

Prime factors of 6644 are 2, 11, 151. Prime factorization of 6644 in exponential form is:

6644 = 2² × 11¹ × 151¹

Step-3: Factors of 6633

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

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

Step-4: Factors of 6644

List of positive integer factors of 6644 that divides 6633 without a remainder.

1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6633 and 6644. The biggest common factor number is the GCF number.
So the greatest common factor 6633 and 6644 is 11.

Also check out the Least Common Multiple of 6633 and 6644