Greatest Common Factor of 6072 and 6078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6072, 6078 i.e. 6 largest integer by which both the numbers can be divided.

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

GCF(6072,6078) = 6

GCF of 6072 and 6078

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6072 and 6078

GCF of 6072 and 6078 is 6

Prime Factorization of 6072


2 6072
2 3036
2 1518
3 759
11 253
23 23
1

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

6072 = 23×31×111×231

Prime Factorization of 6078


2 6078
3 3039
1013 1013
1

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

6078 = 21×31×10131

∴ So by taking common prime factors GCF of 6072 and 6078 is 6

Greatest Common Factor of 6072 and 6078 by matching factors method

Factors of 6072

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

1,2,3,4,6,8,11,12,22,23,24,33,44,46,66,69,88,92,132,138,184,253,264,276,506,552,759,1012,1518,2024,3036,6072

Factors of 6078

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

1,2,3,6,1013,2026,3039,6078

Greatest Common Factor

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

Properties of GCF 6072 and 6078

(i) The GCF of 6072 and 6078 is associative

GCF of 6072 and 6078 = GCF of 6078 and 6072

Related Greatest Common Factor of 6072

Related Greatest Common Factor of 6078

Frequently Asked Questions on GCF of 6072 and 6078

1. What is the GCF of 6072 and 6078?

Answer: GCF of 6072 and 6078 is 6.

2. What are the Factors of 6072?

Answer: Factors of 6072 are 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, 6072. There are 32 integers that are factors of 6072. The greatest factor of 6072 is 6072.

3. What are the Factors of 6078?

Answer: Factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078. There are 8 integers that are factors of 6078. The greatest factor of 6078 is 6078.

4. How to Find the GCF of 6072 and 6078?

Answer:

Greatest Common Factor of 6072 and 6078 = 6

Step 1: Find the prime factorization of 6072

6072 = 2 x 2 x 2 x 3 x 11 x 23

Step 2: Find the prime factorization of 6078

6078 = 2 x 3 x 1013

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6072 and 6078 is 6