Greatest Common Factor of 6045 and 6048

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, 6048 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6045 and 6048 is 3.

GCF(6045,6048) = 3

GCF of 6045 and 6048

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

GCF of:
and

Greatest Common Factor of 6045 and 6048

GCF of 6045 and 6048 is 3

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 6048


2 6048
2 3024
2 1512
2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 6048 are 2,3,7. Prime factorization of 6048 in exponential form is:

6048 = 25×33×71

∴ So by taking common prime factors GCF of 6045 and 6048 is 3

Greatest Common Factor of 6045 and 6048 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 6048

List of positive integer factors of 6048 that divides 6048 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,32,36,42,48,54,56,63,72,84,96,108,112,126,144,168,189,216,224,252,288,336,378,432,504,672,756,864,1008,1512,2016,3024,6048

Greatest Common Factor

We found the factors and prime factorization of 6045 and 6048. The biggest common factor number is the GCF number.
So the greatest common factor 6045 and 6048 is 3.

Also check out the Least Common Multiple of 6045 and 6048

Properties of GCF 6045 and 6048

(i) The GCF of 6045 and 6048 is associative

GCF of 6045 and 6048 = GCF of 6048 and 6045

Related Greatest Common Factor of 6045

Related Greatest Common Factor of 6048

Frequently Asked Questions on GCF of 6045 and 6048

1. What is the GCF of 6045 and 6048?

Answer: GCF of 6045 and 6048 is 3.

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 6048?

Answer: Factors of 6048 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048. There are 48 integers that are factors of 6048. The greatest factor of 6048 is 6048.

4. How to Find the GCF of 6045 and 6048?

Answer:

Greatest Common Factor of 6045 and 6048 = 3

Step 1: Find the prime factorization of 6045

6045 = 3 x 5 x 13 x 31

Step 2: Find the prime factorization of 6048

6048 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6045 and 6048 is 3