Greatest Common Factor of 9200 and 9208

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, 9208 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9200 and 9208 is 8.

GCF(9200,9208) = 8

GCF of 9200 and 9208

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

GCF of:
and

Greatest Common Factor of 9200 and 9208

GCF of 9200 and 9208 is 8

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 9208


2 9208
2 4604
2 2302
1151 1151
1

Prime factors of 9208 are 2,1151. Prime factorization of 9208 in exponential form is:

9208 = 23×11511

∴ So by taking common prime factors GCF of 9200 and 9208 is 8

Greatest Common Factor of 9200 and 9208 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 9208

List of positive integer factors of 9208 that divides 9208 without a remainder.

1,2,4,8,1151,2302,4604,9208

Greatest Common Factor

We found the factors and prime factorization of 9200 and 9208. The biggest common factor number is the GCF number.
So the greatest common factor 9200 and 9208 is 8.

Also check out the Least Common Multiple of 9200 and 9208

Properties of GCF 9200 and 9208

(i) The GCF of 9200 and 9208 is associative

GCF of 9200 and 9208 = GCF of 9208 and 9200

Related Greatest Common Factor of 9200

Related Greatest Common Factor of 9208

Frequently Asked Questions on GCF of 9200 and 9208

1. What is the GCF of 9200 and 9208?

Answer: GCF of 9200 and 9208 is 8.

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 9208?

Answer: Factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208. There are 8 integers that are factors of 9208. The greatest factor of 9208 is 9208.

4. How to Find the GCF of 9200 and 9208?

Answer:

Greatest Common Factor of 9200 and 9208 = 8

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 9208

9208 = 2 x 2 x 2 x 1151

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 9200 and 9208 is 8