Greatest Common Factor of 6027 and 6032

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, 6032 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6027 and 6032 is 1.

GCF(6027,6032) = 1

GCF of 6027 and 6032

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

GCF of:
and

Greatest Common Factor of 6027 and 6032

GCF of 6027 and 6032 is 1

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 6032


2 6032
2 3016
2 1508
2 754
13 377
29 29
1

Prime factors of 6032 are 2,13,29. Prime factorization of 6032 in exponential form is:

6032 = 24×131×291

∴ So by taking common prime factors GCF of 6027 and 6032 is 1

Greatest Common Factor of 6027 and 6032 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 6032

List of positive integer factors of 6032 that divides 6032 without a remainder.

1,2,4,8,13,16,26,29,52,58,104,116,208,232,377,464,754,1508,3016,6032

Greatest Common Factor

We found the factors and prime factorization of 6027 and 6032. The biggest common factor number is the GCF number.
So the greatest common factor 6027 and 6032 is 1.

Also check out the Least Common Multiple of 6027 and 6032

Properties of GCF 6027 and 6032

(i) The GCF of 6027 and 6032 is associative

GCF of 6027 and 6032 = GCF of 6032 and 6027

Related Greatest Common Factor of 6027

Related Greatest Common Factor of 6032

Frequently Asked Questions on GCF of 6027 and 6032

1. What is the GCF of 6027 and 6032?

Answer: GCF of 6027 and 6032 is 1.

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 6032?

Answer: Factors of 6032 are 1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032. There are 20 integers that are factors of 6032. The greatest factor of 6032 is 6032.

4. How to Find the GCF of 6027 and 6032?

Answer:

Greatest Common Factor of 6027 and 6032 = 1

Step 1: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

Step 2: Find the prime factorization of 6032

6032 = 2 x 2 x 2 x 2 x 13 x 29

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 6027 and 6032 is 1