Greatest Common Factor of 28200 and 28207

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, 28207 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28200 and 28207 is 1.

GCF(28200,28207) = 1

GCF of 28200 and 28207

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

GCF of:
and

Greatest Common Factor of 28200 and 28207

GCF of 28200 and 28207 is 1

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 28207


67 28207
421 421
1

Prime factors of 28207 are 67,421. Prime factorization of 28207 in exponential form is:

28207 = 671×4211

∴ So by taking common prime factors GCF of 28200 and 28207 is 1

Greatest Common Factor of 28200 and 28207 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 28207

List of positive integer factors of 28207 that divides 28207 without a remainder.

1,67,421,28207

Greatest Common Factor

We found the factors and prime factorization of 28200 and 28207. The biggest common factor number is the GCF number.
So the greatest common factor 28200 and 28207 is 1.

Also check out the Least Common Multiple of 28200 and 28207

Properties of GCF 28200 and 28207

(i) The GCF of 28200 and 28207 is associative

GCF of 28200 and 28207 = GCF of 28207 and 28200

Related Greatest Common Factor of 28200

Related Greatest Common Factor of 28207

Frequently Asked Questions on GCF of 28200 and 28207

1. What is the GCF of 28200 and 28207?

Answer: GCF of 28200 and 28207 is 1.

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 28207?

Answer: Factors of 28207 are 1, 67, 421, 28207. There are 4 integers that are factors of 28207. The greatest factor of 28207 is 28207.

4. How to Find the GCF of 28200 and 28207?

Answer:

Greatest Common Factor of 28200 and 28207 = 1

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 28207

28207 = 67 x 421

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 28200 and 28207 is 1