What is the Greatest Common Factor of 6072 and 6088?

Greatest common factor (GCF) of 6072 and 6088 is 8.

GCF(6072,6088) = 8

We will now calculate the prime factors of 6072 and 6088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6072 and 6088.

How to find the GCF of 6072 and 6088?

We will first find the prime factorization of 6072 and 6088. After we will calculate the factors of 6072 and 6088 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 6088

Prime factors of 6088 are 2, 761. Prime factorization of 6088 in exponential form is:

6088 = 2³ × 761¹

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 6088

List of positive integer factors of 6088 that divides 6072 without a remainder.

1, 2, 4, 8, 761, 1522, 3044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6072 and 6088. The biggest common factor number is the GCF number.
So the greatest common factor 6072 and 6088 is 8.

Also check out the Least Common Multiple of 6072 and 6088