Greatest Common Factor of 7482 and 7488

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 7482, 7488 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7482 and 7488 is 6.

GCF(7482,7488) = 6

GCF of 7482 and 7488

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

GCF of:
and

Greatest Common Factor of 7482 and 7488

GCF of 7482 and 7488 is 6

Prime Factorization of 7482


2 7482
3 3741
29 1247
43 43
1

Prime factors of 7482 are 2,3,29,43. Prime factorization of 7482 in exponential form is:

7482 = 21×31×291×431

Prime Factorization of 7488


2 7488
2 3744
2 1872
2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 7488 are 2,3,13. Prime factorization of 7488 in exponential form is:

7488 = 26×32×131

∴ So by taking common prime factors GCF of 7482 and 7488 is 6

Greatest Common Factor of 7482 and 7488 by matching factors method

Factors of 7482

List of positive integer factors of 7482 that divides 7482 without a remainder.

1,2,3,6,29,43,58,86,87,129,174,258,1247,2494,3741,7482

Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488

Greatest Common Factor

We found the factors and prime factorization of 7482 and 7488. The biggest common factor number is the GCF number.
So the greatest common factor 7482 and 7488 is 6.

Also check out the Least Common Multiple of 7482 and 7488

Properties of GCF 7482 and 7488

(i) The GCF of 7482 and 7488 is associative

GCF of 7482 and 7488 = GCF of 7488 and 7482

Related Greatest Common Factor of 7482

Related Greatest Common Factor of 7488

Frequently Asked Questions on GCF of 7482 and 7488

1. What is the GCF of 7482 and 7488?

Answer: GCF of 7482 and 7488 is 6.

2. What are the Factors of 7482?

Answer: Factors of 7482 are 1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482. There are 16 integers that are factors of 7482. The greatest factor of 7482 is 7482.

3. What are the Factors of 7488?

Answer: Factors of 7488 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488. There are 42 integers that are factors of 7488. The greatest factor of 7488 is 7488.

4. How to Find the GCF of 7482 and 7488?

Answer:

Greatest Common Factor of 7482 and 7488 = 6

Step 1: Find the prime factorization of 7482

7482 = 2 x 3 x 29 x 43

Step 2: Find the prime factorization of 7488

7488 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13

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 7482 and 7488 is 6