What is the Greatest Common Factor of 66084 and 66104?

Greatest common factor (GCF) of 66084 and 66104 is 4.

GCF(66084,66104) = 4

We will now calculate the prime factors of 66084 and 66104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66084 and 66104.

How to find the GCF of 66084 and 66104?

We will first find the prime factorization of 66084 and 66104. After we will calculate the factors of 66084 and 66104 and find the biggest common factor number .

Step-1: Prime Factorization of 66084

Prime factors of 66084 are 2, 3, 5507. Prime factorization of 66084 in exponential form is:

66084 = 2² × 3¹ × 5507¹

Step-2: Prime Factorization of 66104

Prime factors of 66104 are 2, 8263. Prime factorization of 66104 in exponential form is:

66104 = 2³ × 8263¹

Step-3: Factors of 66084

List of positive integer factors of 66084 that divides 66084 without a remainder.

1, 2, 3, 4, 6, 12, 5507, 11014, 16521, 22028, 33042

Step-4: Factors of 66104

List of positive integer factors of 66104 that divides 66084 without a remainder.

1, 2, 4, 8, 8263, 16526, 33052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66084 and 66104. The biggest common factor number is the GCF number.
So the greatest common factor 66084 and 66104 is 4.

Also check out the Least Common Multiple of 66084 and 66104