Greatest Common Factor of 6045 and 6050

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 6045, 6050 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6045 and 6050 is 5.

GCF(6045,6050) = 5

GCF of 6045 and 6050

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

GCF of:
and

Greatest Common Factor of 6045 and 6050

GCF of 6045 and 6050 is 5

Prime Factorization of 6045


3 6045
5 2015
13 403
31 31
1

Prime factors of 6045 are 3,5,13,31. Prime factorization of 6045 in exponential form is:

6045 = 31×51×131×311

Prime Factorization of 6050


2 6050
5 3025
5 605
11 121
11 11
1

Prime factors of 6050 are 2,5,11. Prime factorization of 6050 in exponential form is:

6050 = 21×52×112

∴ So by taking common prime factors GCF of 6045 and 6050 is 5

Greatest Common Factor of 6045 and 6050 by matching factors method

Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045

Factors of 6050

List of positive integer factors of 6050 that divides 6050 without a remainder.

1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050

Greatest Common Factor

We found the factors and prime factorization of 6045 and 6050. The biggest common factor number is the GCF number.
So the greatest common factor 6045 and 6050 is 5.

Also check out the Least Common Multiple of 6045 and 6050

Properties of GCF 6045 and 6050

(i) The GCF of 6045 and 6050 is associative

GCF of 6045 and 6050 = GCF of 6050 and 6045

Related Greatest Common Factor of 6045

Related Greatest Common Factor of 6050

Frequently Asked Questions on GCF of 6045 and 6050

1. What is the GCF of 6045 and 6050?

Answer: GCF of 6045 and 6050 is 5.

2. What are the Factors of 6045?

Answer: Factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045. There are 16 integers that are factors of 6045. The greatest factor of 6045 is 6045.

3. What are the Factors of 6050?

Answer: Factors of 6050 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 3025, 6050. There are 18 integers that are factors of 6050. The greatest factor of 6050 is 6050.

4. How to Find the GCF of 6045 and 6050?

Answer:

Greatest Common Factor of 6045 and 6050 = 5

Step 1: Find the prime factorization of 6045

6045 = 3 x 5 x 13 x 31

Step 2: Find the prime factorization of 6050

6050 = 2 x 5 x 5 x 11 x 11

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 6045 and 6050 is 5