Greatest Common Factor of 6020 and 6027

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 6020, 6027 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6020 and 6027 is 7.

GCF(6020,6027) = 7

GCF of 6020 and 6027

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

GCF of:
and

Greatest Common Factor of 6020 and 6027

GCF of 6020 and 6027 is 7

Prime Factorization of 6020


2 6020
2 3010
5 1505
7 301
43 43
1

Prime factors of 6020 are 2,5,7,43. Prime factorization of 6020 in exponential form is:

6020 = 22×51×71×431

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

∴ So by taking common prime factors GCF of 6020 and 6027 is 7

Greatest Common Factor of 6020 and 6027 by matching factors method

Factors of 6020

List of positive integer factors of 6020 that divides 6020 without a remainder.

1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020

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

Greatest Common Factor

We found the factors and prime factorization of 6020 and 6027. The biggest common factor number is the GCF number.
So the greatest common factor 6020 and 6027 is 7.

Also check out the Least Common Multiple of 6020 and 6027

Properties of GCF 6020 and 6027

(i) The GCF of 6020 and 6027 is associative

GCF of 6020 and 6027 = GCF of 6027 and 6020

Related Greatest Common Factor of 6020

Related Greatest Common Factor of 6027

Frequently Asked Questions on GCF of 6020 and 6027

1. What is the GCF of 6020 and 6027?

Answer: GCF of 6020 and 6027 is 7.

2. What are the Factors of 6020?

Answer: Factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020. There are 24 integers that are factors of 6020. The greatest factor of 6020 is 6020.

3. 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.

4. How to Find the GCF of 6020 and 6027?

Answer:

Greatest Common Factor of 6020 and 6027 = 7

Step 1: Find the prime factorization of 6020

6020 = 2 x 2 x 5 x 7 x 43

Step 2: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

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 6020 and 6027 is 7