What is the Greatest Common Factor of 66321 and 66336?

Greatest common factor (GCF) of 66321 and 66336 is 3.

GCF(66321,66336) = 3

We will now calculate the prime factors of 66321 and 66336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66321 and 66336.

How to find the GCF of 66321 and 66336?

We will first find the prime factorization of 66321 and 66336. After we will calculate the factors of 66321 and 66336 and find the biggest common factor number .

Step-1: Prime Factorization of 66321

Prime factors of 66321 are 3, 7369. Prime factorization of 66321 in exponential form is:

66321 = 3² × 7369¹

Step-2: Prime Factorization of 66336

Prime factors of 66336 are 2, 3, 691. Prime factorization of 66336 in exponential form is:

66336 = 2⁵ × 3¹ × 691¹

Step-3: Factors of 66321

List of positive integer factors of 66321 that divides 66321 without a remainder.

1, 3, 9, 7369, 22107

Step-4: Factors of 66336

List of positive integer factors of 66336 that divides 66321 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 691, 1382, 2073, 2764, 4146, 5528, 8292, 11056, 16584, 22112, 33168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66321 and 66336. The biggest common factor number is the GCF number.
So the greatest common factor 66321 and 66336 is 3.

Also check out the Least Common Multiple of 66321 and 66336