What is the Greatest Common Factor of 6072 and 6090?

Greatest common factor (GCF) of 6072 and 6090 is 6.

GCF(6072,6090) = 6

We will now calculate the prime factors of 6072 and 6090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6072 and 6090.

How to find the GCF of 6072 and 6090?

We will first find the prime factorization of 6072 and 6090. After we will calculate the factors of 6072 and 6090 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 6090

Prime factors of 6090 are 2, 3, 5, 7, 29. Prime factorization of 6090 in exponential form is:

6090 = 2¹ × 3¹ × 5¹ × 7¹ × 29¹

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 6090

List of positive integer factors of 6090 that divides 6072 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6072 and 6090. The biggest common factor number is the GCF number.
So the greatest common factor 6072 and 6090 is 6.

Also check out the Least Common Multiple of 6072 and 6090