What is the Greatest Common Factor of 66072 and 66084?

Greatest common factor (GCF) of 66072 and 66084 is 12.

GCF(66072,66084) = 12

We will now calculate the prime factors of 66072 and 66084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66072 and 66084.

How to find the GCF of 66072 and 66084?

We will first find the prime factorization of 66072 and 66084. After we will calculate the factors of 66072 and 66084 and find the biggest common factor number .

Step-1: Prime Factorization of 66072

Prime factors of 66072 are 2, 3, 2753. Prime factorization of 66072 in exponential form is:

66072 = 2³ × 3¹ × 2753¹

Step-2: 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-3: Factors of 66072

List of positive integer factors of 66072 that divides 66072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2753, 5506, 8259, 11012, 16518, 22024, 33036

Step-4: Factors of 66084

List of positive integer factors of 66084 that divides 66072 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66072 and 66084. The biggest common factor number is the GCF number.
So the greatest common factor 66072 and 66084 is 12.

Also check out the Least Common Multiple of 66072 and 66084