Greatest Common Factor of 6048 and 6054

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 6048, 6054 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6048 and 6054 is 6.

GCF(6048,6054) = 6

GCF of 6048 and 6054

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

GCF of:
and

Greatest Common Factor of 6048 and 6054

GCF of 6048 and 6054 is 6

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

Prime Factorization of 6054


2 6054
3 3027
1009 1009
1

Prime factors of 6054 are 2,3,1009. Prime factorization of 6054 in exponential form is:

6054 = 21×31×10091

∴ So by taking common prime factors GCF of 6048 and 6054 is 6

Greatest Common Factor of 6048 and 6054 by matching factors method

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

Factors of 6054

List of positive integer factors of 6054 that divides 6054 without a remainder.

1,2,3,6,1009,2018,3027,6054

Greatest Common Factor

We found the factors and prime factorization of 6048 and 6054. The biggest common factor number is the GCF number.
So the greatest common factor 6048 and 6054 is 6.

Also check out the Least Common Multiple of 6048 and 6054

Properties of GCF 6048 and 6054

(i) The GCF of 6048 and 6054 is associative

GCF of 6048 and 6054 = GCF of 6054 and 6048

Related Greatest Common Factor of 6048

Related Greatest Common Factor of 6054

Frequently Asked Questions on GCF of 6048 and 6054

1. What is the GCF of 6048 and 6054?

Answer: GCF of 6048 and 6054 is 6.

2. 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.

3. What are the Factors of 6054?

Answer: Factors of 6054 are 1, 2, 3, 6, 1009, 2018, 3027, 6054. There are 8 integers that are factors of 6054. The greatest factor of 6054 is 6054.

4. How to Find the GCF of 6048 and 6054?

Answer:

Greatest Common Factor of 6048 and 6054 = 6

Step 1: 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 2: Find the prime factorization of 6054

6054 = 2 x 3 x 1009

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6048 and 6054 is 6