Greatest Common Factor of 6027 and 6028

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, 6028 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6027 and 6028 is 1.

GCF(6027,6028) = 1

GCF of 6027 and 6028

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

GCF of:
and

Greatest Common Factor of 6027 and 6028

GCF of 6027 and 6028 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 6028


2 6028
2 3014
11 1507
137 137
1

Prime factors of 6028 are 2,11,137. Prime factorization of 6028 in exponential form is:

6028 = 22×111×1371

∴ So by taking common prime factors GCF of 6027 and 6028 is 1

Greatest Common Factor of 6027 and 6028 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 6028

List of positive integer factors of 6028 that divides 6028 without a remainder.

1,2,4,11,22,44,137,274,548,1507,3014,6028

Greatest Common Factor

We found the factors and prime factorization of 6027 and 6028. The biggest common factor number is the GCF number.
So the greatest common factor 6027 and 6028 is 1.

Also check out the Least Common Multiple of 6027 and 6028

Properties of GCF 6027 and 6028

(i) The GCF of 6027 and 6028 is associative

GCF of 6027 and 6028 = GCF of 6028 and 6027

Related Greatest Common Factor of 6027

Related Greatest Common Factor of 6028

Frequently Asked Questions on GCF of 6027 and 6028

1. What is the GCF of 6027 and 6028?

Answer: GCF of 6027 and 6028 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 6028?

Answer: Factors of 6028 are 1, 2, 4, 11, 22, 44, 137, 274, 548, 1507, 3014, 6028. There are 12 integers that are factors of 6028. The greatest factor of 6028 is 6028.

4. How to Find the GCF of 6027 and 6028?

Answer:

Greatest Common Factor of 6027 and 6028 = 1

Step 1: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

Step 2: Find the prime factorization of 6028

6028 = 2 x 2 x 11 x 137

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 6028 is 1