Greatest Common Factor of 6027 and 6034

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 6027, 6034 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6027 and 6034 is 7.

GCF(6027,6034) = 7

GCF of 6027 and 6034

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

GCF of:
and

Greatest Common Factor of 6027 and 6034

GCF of 6027 and 6034 is 7

Prime Factorization of 6027


3 6027
7 2009
7 287
41 41
1

Prime factors of 6027 are 3,7,41. Prime factorization of 6027 in exponential form is:

6027 = 31×72×411

Prime Factorization of 6034


2 6034
7 3017
431 431
1

Prime factors of 6034 are 2,7,431. Prime factorization of 6034 in exponential form is:

6034 = 21×71×4311

∴ So by taking common prime factors GCF of 6027 and 6034 is 7

Greatest Common Factor of 6027 and 6034 by matching factors method

Factors of 6027

List of positive integer factors of 6027 that divides 6027 without a remainder.

1,3,7,21,41,49,123,147,287,861,2009,6027

Factors of 6034

List of positive integer factors of 6034 that divides 6034 without a remainder.

1,2,7,14,431,862,3017,6034

Greatest Common Factor

We found the factors and prime factorization of 6027 and 6034. The biggest common factor number is the GCF number.
So the greatest common factor 6027 and 6034 is 7.

Also check out the Least Common Multiple of 6027 and 6034

Properties of GCF 6027 and 6034

(i) The GCF of 6027 and 6034 is associative

GCF of 6027 and 6034 = GCF of 6034 and 6027

Related Greatest Common Factor of 6027

Related Greatest Common Factor of 6034

Frequently Asked Questions on GCF of 6027 and 6034

1. What is the GCF of 6027 and 6034?

Answer: GCF of 6027 and 6034 is 7.

2. What are the Factors of 6027?

Answer: Factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027. There are 12 integers that are factors of 6027. The greatest factor of 6027 is 6027.

3. What are the Factors of 6034?

Answer: Factors of 6034 are 1, 2, 7, 14, 431, 862, 3017, 6034. There are 8 integers that are factors of 6034. The greatest factor of 6034 is 6034.

4. How to Find the GCF of 6027 and 6034?

Answer:

Greatest Common Factor of 6027 and 6034 = 7

Step 1: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

Step 2: Find the prime factorization of 6034

6034 = 2 x 7 x 431

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6027 and 6034 is 7