Greatest Common Factor of 9200 and 9206

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, 9206 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9200 and 9206 is 2.

GCF(9200,9206) = 2

GCF of 9200 and 9206

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

GCF of:
and

Greatest Common Factor of 9200 and 9206

GCF of 9200 and 9206 is 2

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 9206


2 9206
4603 4603
1

Prime factors of 9206 are 2,4603. Prime factorization of 9206 in exponential form is:

9206 = 21×46031

∴ So by taking common prime factors GCF of 9200 and 9206 is 2

Greatest Common Factor of 9200 and 9206 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 9206

List of positive integer factors of 9206 that divides 9206 without a remainder.

1,2,4603,9206

Greatest Common Factor

We found the factors and prime factorization of 9200 and 9206. The biggest common factor number is the GCF number.
So the greatest common factor 9200 and 9206 is 2.

Also check out the Least Common Multiple of 9200 and 9206

Properties of GCF 9200 and 9206

(i) The GCF of 9200 and 9206 is associative

GCF of 9200 and 9206 = GCF of 9206 and 9200

Related Greatest Common Factor of 9200

Related Greatest Common Factor of 9206

Frequently Asked Questions on GCF of 9200 and 9206

1. What is the GCF of 9200 and 9206?

Answer: GCF of 9200 and 9206 is 2.

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 9206?

Answer: Factors of 9206 are 1, 2, 4603, 9206. There are 4 integers that are factors of 9206. The greatest factor of 9206 is 9206.

4. How to Find the GCF of 9200 and 9206?

Answer:

Greatest Common Factor of 9200 and 9206 = 2

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 9206

9206 = 2 x 4603

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 9200 and 9206 is 2