Greatest Common Factor of 28200 and 28202

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, 28202 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28200 and 28202 is 2.

GCF(28200,28202) = 2

GCF of 28200 and 28202

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

GCF of:
and

Greatest Common Factor of 28200 and 28202

GCF of 28200 and 28202 is 2

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 28202


2 28202
59 14101
239 239
1

Prime factors of 28202 are 2,59,239. Prime factorization of 28202 in exponential form is:

28202 = 21×591×2391

∴ So by taking common prime factors GCF of 28200 and 28202 is 2

Greatest Common Factor of 28200 and 28202 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 28202

List of positive integer factors of 28202 that divides 28202 without a remainder.

1,2,59,118,239,478,14101,28202

Greatest Common Factor

We found the factors and prime factorization of 28200 and 28202. The biggest common factor number is the GCF number.
So the greatest common factor 28200 and 28202 is 2.

Also check out the Least Common Multiple of 28200 and 28202

Properties of GCF 28200 and 28202

(i) The GCF of 28200 and 28202 is associative

GCF of 28200 and 28202 = GCF of 28202 and 28200

Related Greatest Common Factor of 28200

Related Greatest Common Factor of 28202

Frequently Asked Questions on GCF of 28200 and 28202

1. What is the GCF of 28200 and 28202?

Answer: GCF of 28200 and 28202 is 2.

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 28202?

Answer: Factors of 28202 are 1, 2, 59, 118, 239, 478, 14101, 28202. There are 8 integers that are factors of 28202. The greatest factor of 28202 is 28202.

4. How to Find the GCF of 28200 and 28202?

Answer:

Greatest Common Factor of 28200 and 28202 = 2

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 28202

28202 = 2 x 59 x 239

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

GCF = 2

Step 4: Therefore, the greatest common factor of 28200 and 28202 is 2