Greatest Common Factor of 6048 and 6052

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, 6052 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6048 and 6052 is 4.

GCF(6048,6052) = 4

GCF of 6048 and 6052

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

GCF of:
and

Greatest Common Factor of 6048 and 6052

GCF of 6048 and 6052 is 4

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 6052


2 6052
2 3026
17 1513
89 89
1

Prime factors of 6052 are 2,17,89. Prime factorization of 6052 in exponential form is:

6052 = 22×171×891

∴ So by taking common prime factors GCF of 6048 and 6052 is 4

Greatest Common Factor of 6048 and 6052 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 6052

List of positive integer factors of 6052 that divides 6052 without a remainder.

1,2,4,17,34,68,89,178,356,1513,3026,6052

Greatest Common Factor

We found the factors and prime factorization of 6048 and 6052. The biggest common factor number is the GCF number.
So the greatest common factor 6048 and 6052 is 4.

Also check out the Least Common Multiple of 6048 and 6052

Properties of GCF 6048 and 6052

(i) The GCF of 6048 and 6052 is associative

GCF of 6048 and 6052 = GCF of 6052 and 6048

Related Greatest Common Factor of 6048

Related Greatest Common Factor of 6052

Frequently Asked Questions on GCF of 6048 and 6052

1. What is the GCF of 6048 and 6052?

Answer: GCF of 6048 and 6052 is 4.

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 6052?

Answer: Factors of 6052 are 1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052. There are 12 integers that are factors of 6052. The greatest factor of 6052 is 6052.

4. How to Find the GCF of 6048 and 6052?

Answer:

Greatest Common Factor of 6048 and 6052 = 4

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 6052

6052 = 2 x 2 x 17 x 89

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6048 and 6052 is 4