Greatest Common Factor of 28200 and 28208

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 28200, 28208 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28200 and 28208 is 8.

GCF(28200,28208) = 8

GCF of 28200 and 28208

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

GCF of:
and

Greatest Common Factor of 28200 and 28208

GCF of 28200 and 28208 is 8

Prime Factorization of 28200


2 28200
2 14100
2 7050
3 3525
5 1175
5 235
47 47
1

Prime factors of 28200 are 2,3,5,47. Prime factorization of 28200 in exponential form is:

28200 = 23×31×52×471

Prime Factorization of 28208


2 28208
2 14104
2 7052
2 3526
41 1763
43 43
1

Prime factors of 28208 are 2,41,43. Prime factorization of 28208 in exponential form is:

28208 = 24×411×431

∴ So by taking common prime factors GCF of 28200 and 28208 is 8

Greatest Common Factor of 28200 and 28208 by matching factors method

Factors of 28200

List of positive integer factors of 28200 that divides 28200 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,47,50,60,75,94,100,120,141,150,188,200,235,282,300,376,470,564,600,705,940,1128,1175,1410,1880,2350,2820,3525,4700,5640,7050,9400,14100,28200

Factors of 28208

List of positive integer factors of 28208 that divides 28208 without a remainder.

1,2,4,8,16,41,43,82,86,164,172,328,344,656,688,1763,3526,7052,14104,28208

Greatest Common Factor

We found the factors and prime factorization of 28200 and 28208. The biggest common factor number is the GCF number.
So the greatest common factor 28200 and 28208 is 8.

Also check out the Least Common Multiple of 28200 and 28208

Properties of GCF 28200 and 28208

(i) The GCF of 28200 and 28208 is associative

GCF of 28200 and 28208 = GCF of 28208 and 28200

Related Greatest Common Factor of 28200

Related Greatest Common Factor of 28208

Frequently Asked Questions on GCF of 28200 and 28208

1. What is the GCF of 28200 and 28208?

Answer: GCF of 28200 and 28208 is 8.

2. What are the Factors of 28200?

Answer: Factors of 28200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 47, 50, 60, 75, 94, 100, 120, 141, 150, 188, 200, 235, 282, 300, 376, 470, 564, 600, 705, 940, 1128, 1175, 1410, 1880, 2350, 2820, 3525, 4700, 5640, 7050, 9400, 14100, 28200. There are 48 integers that are factors of 28200. The greatest factor of 28200 is 28200.

3. What are the Factors of 28208?

Answer: Factors of 28208 are 1, 2, 4, 8, 16, 41, 43, 82, 86, 164, 172, 328, 344, 656, 688, 1763, 3526, 7052, 14104, 28208. There are 20 integers that are factors of 28208. The greatest factor of 28208 is 28208.

4. How to Find the GCF of 28200 and 28208?

Answer:

Greatest Common Factor of 28200 and 28208 = 8

Step 1: Find the prime factorization of 28200

28200 = 2 x 2 x 2 x 3 x 5 x 5 x 47

Step 2: Find the prime factorization of 28208

28208 = 2 x 2 x 2 x 2 x 41 x 43

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 28200 and 28208 is 8