What is the Greatest Common Factor of 66324 and 66342?

Greatest common factor (GCF) of 66324 and 66342 is 6.

GCF(66324,66342) = 6

We will now calculate the prime factors of 66324 and 66342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66324 and 66342.

How to find the GCF of 66324 and 66342?

We will first find the prime factorization of 66324 and 66342. After we will calculate the factors of 66324 and 66342 and find the biggest common factor number .

Step-1: Prime Factorization of 66324

Prime factors of 66324 are 2, 3, 5527. Prime factorization of 66324 in exponential form is:

66324 = 2² × 3¹ × 5527¹

Step-2: Prime Factorization of 66342

Prime factors of 66342 are 2, 3, 11057. Prime factorization of 66342 in exponential form is:

66342 = 2¹ × 3¹ × 11057¹

Step-3: Factors of 66324

List of positive integer factors of 66324 that divides 66324 without a remainder.

1, 2, 3, 4, 6, 12, 5527, 11054, 16581, 22108, 33162

Step-4: Factors of 66342

List of positive integer factors of 66342 that divides 66324 without a remainder.

1, 2, 3, 6, 11057, 22114, 33171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66324 and 66342. The biggest common factor number is the GCF number.
So the greatest common factor 66324 and 66342 is 6.

Also check out the Least Common Multiple of 66324 and 66342