Greatest Common Factor of 9196 and 9200

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 9196, 9200 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9196 and 9200 is 4.

GCF(9196,9200) = 4

GCF of 9196 and 9200

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

GCF of:
and

Greatest Common Factor of 9196 and 9200

GCF of 9196 and 9200 is 4

Prime Factorization of 9196


2 9196
2 4598
11 2299
11 209
19 19
1

Prime factors of 9196 are 2,11,19. Prime factorization of 9196 in exponential form is:

9196 = 22×112×191

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

∴ So by taking common prime factors GCF of 9196 and 9200 is 4

Greatest Common Factor of 9196 and 9200 by matching factors method

Factors of 9196

List of positive integer factors of 9196 that divides 9196 without a remainder.

1,2,4,11,19,22,38,44,76,121,209,242,418,484,836,2299,4598,9196

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

Greatest Common Factor

We found the factors and prime factorization of 9196 and 9200. The biggest common factor number is the GCF number.
So the greatest common factor 9196 and 9200 is 4.

Also check out the Least Common Multiple of 9196 and 9200

Properties of GCF 9196 and 9200

(i) The GCF of 9196 and 9200 is associative

GCF of 9196 and 9200 = GCF of 9200 and 9196

Related Greatest Common Factor of 9196

Related Greatest Common Factor of 9200

Frequently Asked Questions on GCF of 9196 and 9200

1. What is the GCF of 9196 and 9200?

Answer: GCF of 9196 and 9200 is 4.

2. What are the Factors of 9196?

Answer: Factors of 9196 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598, 9196. There are 18 integers that are factors of 9196. The greatest factor of 9196 is 9196.

3. 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.

4. How to Find the GCF of 9196 and 9200?

Answer:

Greatest Common Factor of 9196 and 9200 = 4

Step 1: Find the prime factorization of 9196

9196 = 2 x 2 x 11 x 11 x 19

Step 2: Find the prime factorization of 9200

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9196 and 9200 is 4