Greatest Common Factor of 6065 and 6072

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 6065, 6072 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6065 and 6072 is 1.

GCF(6065,6072) = 1

GCF of 6065 and 6072

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

GCF of:
and

Greatest Common Factor of 6065 and 6072

GCF of 6065 and 6072 is 1

Prime Factorization of 6065


5 6065
1213 1213
1

Prime factors of 6065 are 5,1213. Prime factorization of 6065 in exponential form is:

6065 = 51×12131

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

∴ So by taking common prime factors GCF of 6065 and 6072 is 1

Greatest Common Factor of 6065 and 6072 by matching factors method

Factors of 6065

List of positive integer factors of 6065 that divides 6065 without a remainder.

1,5,1213,6065

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

Greatest Common Factor

We found the factors and prime factorization of 6065 and 6072. The biggest common factor number is the GCF number.
So the greatest common factor 6065 and 6072 is 1.

Also check out the Least Common Multiple of 6065 and 6072

Properties of GCF 6065 and 6072

(i) The GCF of 6065 and 6072 is associative

GCF of 6065 and 6072 = GCF of 6072 and 6065

Related Greatest Common Factor of 6065

Related Greatest Common Factor of 6072

Frequently Asked Questions on GCF of 6065 and 6072

1. What is the GCF of 6065 and 6072?

Answer: GCF of 6065 and 6072 is 1.

2. What are the Factors of 6065?

Answer: Factors of 6065 are 1, 5, 1213, 6065. There are 4 integers that are factors of 6065. The greatest factor of 6065 is 6065.

3. 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.

4. How to Find the GCF of 6065 and 6072?

Answer:

Greatest Common Factor of 6065 and 6072 = 1

Step 1: Find the prime factorization of 6065

6065 = 5 x 1213

Step 2: Find the prime factorization of 6072

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

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6065 and 6072 is 1