What is the Greatest Common Factor of 66318 and 66336?

Greatest common factor (GCF) of 66318 and 66336 is 6.

GCF(66318,66336) = 6

We will now calculate the prime factors of 66318 and 66336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66318 and 66336.

How to find the GCF of 66318 and 66336?

We will first find the prime factorization of 66318 and 66336. After we will calculate the factors of 66318 and 66336 and find the biggest common factor number .

Step-1: Prime Factorization of 66318

Prime factors of 66318 are 2, 3, 7, 1579. Prime factorization of 66318 in exponential form is:

66318 = 2¹ × 3¹ × 7¹ × 1579¹

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 66318

List of positive integer factors of 66318 that divides 66318 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1579, 3158, 4737, 9474, 11053, 22106, 33159

Step-4: Factors of 66336

List of positive integer factors of 66336 that divides 66318 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 66318 and 66336. The biggest common factor number is the GCF number.
So the greatest common factor 66318 and 66336 is 6.

Also check out the Least Common Multiple of 66318 and 66336