What is the Greatest Common Factor of 6072 and 6078?

Greatest common factor (GCF) of 6072 and 6078 is 6.

GCF(6072,6078) = 6

We will now calculate the prime factors of 6072 and 6078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6072 and 6078.

How to find the GCF of 6072 and 6078?

We will first find the prime factorization of 6072 and 6078. After we will calculate the factors of 6072 and 6078 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6078

Prime factors of 6078 are 2, 3, 1013. Prime factorization of 6078 in exponential form is:

6078 = 2¹ × 3¹ × 1013¹

Step-3: Factors of 6072

List of positive integer factors of 6072 that divides 6072 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

Step-4: Factors of 6078

List of positive integer factors of 6078 that divides 6072 without a remainder.

1, 2, 3, 6, 1013, 2026, 3039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6072 and 6078. The biggest common factor number is the GCF number.
So the greatest common factor 6072 and 6078 is 6.

Also check out the Least Common Multiple of 6072 and 6078