Greatest Common Factor of 9200 and 9205

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 9200, 9205 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9200 and 9205 is 5.

GCF(9200,9205) = 5

GCF of 9200 and 9205

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

GCF of:
and

Greatest Common Factor of 9200 and 9205

GCF of 9200 and 9205 is 5

Prime Factorization of 9200


2 9200
2 4600
2 2300
2 1150
5 575
5 115
23 23
1

Prime factors of 9200 are 2,5,23. Prime factorization of 9200 in exponential form is:

9200 = 24×52×231

Prime Factorization of 9205


5 9205
7 1841
263 263
1

Prime factors of 9205 are 5,7,263. Prime factorization of 9205 in exponential form is:

9205 = 51×71×2631

∴ So by taking common prime factors GCF of 9200 and 9205 is 5

Greatest Common Factor of 9200 and 9205 by matching factors method

Factors of 9200

List of positive integer factors of 9200 that divides 9200 without a remainder.

1,2,4,5,8,10,16,20,23,25,40,46,50,80,92,100,115,184,200,230,368,400,460,575,920,1150,1840,2300,4600,9200

Factors of 9205

List of positive integer factors of 9205 that divides 9205 without a remainder.

1,5,7,35,263,1315,1841,9205

Greatest Common Factor

We found the factors and prime factorization of 9200 and 9205. The biggest common factor number is the GCF number.
So the greatest common factor 9200 and 9205 is 5.

Also check out the Least Common Multiple of 9200 and 9205

Properties of GCF 9200 and 9205

(i) The GCF of 9200 and 9205 is associative

GCF of 9200 and 9205 = GCF of 9205 and 9200

Related Greatest Common Factor of 9200

Related Greatest Common Factor of 9205

Frequently Asked Questions on GCF of 9200 and 9205

1. What is the GCF of 9200 and 9205?

Answer: GCF of 9200 and 9205 is 5.

2. What are the Factors of 9200?

Answer: Factors of 9200 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600, 9200. There are 30 integers that are factors of 9200. The greatest factor of 9200 is 9200.

3. What are the Factors of 9205?

Answer: Factors of 9205 are 1, 5, 7, 35, 263, 1315, 1841, 9205. There are 8 integers that are factors of 9205. The greatest factor of 9205 is 9205.

4. How to Find the GCF of 9200 and 9205?

Answer:

Greatest Common Factor of 9200 and 9205 = 5

Step 1: Find the prime factorization of 9200

9200 = 2 x 2 x 2 x 2 x 5 x 5 x 23

Step 2: Find the prime factorization of 9205

9205 = 5 x 7 x 263

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9200 and 9205 is 5