Greatest Common Factor of 6027 and 6033

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, 6033 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6027 and 6033 is 3.

GCF(6027,6033) = 3

GCF of 6027 and 6033

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

GCF of:
and

Greatest Common Factor of 6027 and 6033

GCF of 6027 and 6033 is 3

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 6033


3 6033
2011 2011
1

Prime factors of 6033 are 3,2011. Prime factorization of 6033 in exponential form is:

6033 = 31×20111

∴ So by taking common prime factors GCF of 6027 and 6033 is 3

Greatest Common Factor of 6027 and 6033 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 6033

List of positive integer factors of 6033 that divides 6033 without a remainder.

1,3,2011,6033

Greatest Common Factor

We found the factors and prime factorization of 6027 and 6033. The biggest common factor number is the GCF number.
So the greatest common factor 6027 and 6033 is 3.

Also check out the Least Common Multiple of 6027 and 6033

Properties of GCF 6027 and 6033

(i) The GCF of 6027 and 6033 is associative

GCF of 6027 and 6033 = GCF of 6033 and 6027

Related Greatest Common Factor of 6027

Related Greatest Common Factor of 6033

Frequently Asked Questions on GCF of 6027 and 6033

1. What is the GCF of 6027 and 6033?

Answer: GCF of 6027 and 6033 is 3.

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 6033?

Answer: Factors of 6033 are 1, 3, 2011, 6033. There are 4 integers that are factors of 6033. The greatest factor of 6033 is 6033.

4. How to Find the GCF of 6027 and 6033?

Answer:

Greatest Common Factor of 6027 and 6033 = 3

Step 1: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

Step 2: Find the prime factorization of 6033

6033 = 3 x 2011

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6027 and 6033 is 3