What is the Greatest Common Factor of 6066 and 6072?

Greatest common factor (GCF) of 6066 and 6072 is 6.

GCF(6066,6072) = 6

We will now calculate the prime factors of 6066 and 6072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6066 and 6072.

How to find the GCF of 6066 and 6072?

We will first find the prime factorization of 6066 and 6072. After we will calculate the factors of 6066 and 6072 and find the biggest common factor number .

Step-1: Prime Factorization of 6066

Prime factors of 6066 are 2, 3, 337. Prime factorization of 6066 in exponential form is:

6066 = 2¹ × 3² × 337¹

Step-2: Prime Factorization of 6072

Prime factors of 6072 are 2, 3, 11, 23. Prime factorization of 6072 in exponential form is:

6072 = 2³ × 3¹ × 11¹ × 23¹

Step-3: Factors of 6066

List of positive integer factors of 6066 that divides 6066 without a remainder.

1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033

Step-4: Factors of 6072

List of positive integer factors of 6072 that divides 6066 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6066 and 6072. The biggest common factor number is the GCF number.
So the greatest common factor 6066 and 6072 is 6.

Also check out the Least Common Multiple of 6066 and 6072