Greatest Common Factor of 6041 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 6041, 6048 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6041 and 6048 is 7.

GCF(6041,6048) = 7

GCF of 6041 and 6048

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

GCF of:
and

Greatest Common Factor of 6041 and 6048

GCF of 6041 and 6048 is 7

Prime Factorization of 6041


7 6041
863 863
1

Prime factors of 6041 are 7,863. Prime factorization of 6041 in exponential form is:

6041 = 71×8631

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 6041 and 6048 is 7

Greatest Common Factor of 6041 and 6048 by matching factors method

Factors of 6041

List of positive integer factors of 6041 that divides 6041 without a remainder.

1,7,863,6041

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 6041 and 6048. The biggest common factor number is the GCF number.
So the greatest common factor 6041 and 6048 is 7.

Also check out the Least Common Multiple of 6041 and 6048

Properties of GCF 6041 and 6048

(i) The GCF of 6041 and 6048 is associative

GCF of 6041 and 6048 = GCF of 6048 and 6041

Related Greatest Common Factor of 6041

Related Greatest Common Factor of 6048

Frequently Asked Questions on GCF of 6041 and 6048

1. What is the GCF of 6041 and 6048?

Answer: GCF of 6041 and 6048 is 7.

2. What are the Factors of 6041?

Answer: Factors of 6041 are 1, 7, 863, 6041. There are 4 integers that are factors of 6041. The greatest factor of 6041 is 6041.

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 6041 and 6048?

Answer:

Greatest Common Factor of 6041 and 6048 = 7

Step 1: Find the prime factorization of 6041

6041 = 7 x 863

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 = 7

Step 4: Therefore, the greatest common factor of 6041 and 6048 is 7