Greatest Common Factor of 6030 and 6035

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 6030, 6035 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6030 and 6035 is 5.

GCF(6030,6035) = 5

GCF of 6030 and 6035

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

GCF of:
and

Greatest Common Factor of 6030 and 6035

GCF of 6030 and 6035 is 5

Prime Factorization of 6030


2 6030
3 3015
3 1005
5 335
67 67
1

Prime factors of 6030 are 2,3,5,67. Prime factorization of 6030 in exponential form is:

6030 = 21×32×51×671

Prime Factorization of 6035


5 6035
17 1207
71 71
1

Prime factors of 6035 are 5,17,71. Prime factorization of 6035 in exponential form is:

6035 = 51×171×711

∴ So by taking common prime factors GCF of 6030 and 6035 is 5

Greatest Common Factor of 6030 and 6035 by matching factors method

Factors of 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030

Factors of 6035

List of positive integer factors of 6035 that divides 6035 without a remainder.

1,5,17,71,85,355,1207,6035

Greatest Common Factor

We found the factors and prime factorization of 6030 and 6035. The biggest common factor number is the GCF number.
So the greatest common factor 6030 and 6035 is 5.

Also check out the Least Common Multiple of 6030 and 6035

Properties of GCF 6030 and 6035

(i) The GCF of 6030 and 6035 is associative

GCF of 6030 and 6035 = GCF of 6035 and 6030

Related Greatest Common Factor of 6030

Related Greatest Common Factor of 6035

Frequently Asked Questions on GCF of 6030 and 6035

1. What is the GCF of 6030 and 6035?

Answer: GCF of 6030 and 6035 is 5.

2. What are the Factors of 6030?

Answer: Factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030. There are 24 integers that are factors of 6030. The greatest factor of 6030 is 6030.

3. What are the Factors of 6035?

Answer: Factors of 6035 are 1, 5, 17, 71, 85, 355, 1207, 6035. There are 8 integers that are factors of 6035. The greatest factor of 6035 is 6035.

4. How to Find the GCF of 6030 and 6035?

Answer:

Greatest Common Factor of 6030 and 6035 = 5

Step 1: Find the prime factorization of 6030

6030 = 2 x 3 x 3 x 5 x 67

Step 2: Find the prime factorization of 6035

6035 = 5 x 17 x 71

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6030 and 6035 is 5