Greatest Common Factor of 9200 and 9204

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, 9204 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9200 and 9204 is 4.

GCF(9200,9204) = 4

GCF of 9200 and 9204

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

GCF of:
and

Greatest Common Factor of 9200 and 9204

GCF of 9200 and 9204 is 4

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 9204


2 9204
2 4602
3 2301
13 767
59 59
1

Prime factors of 9204 are 2,3,13,59. Prime factorization of 9204 in exponential form is:

9204 = 22×31×131×591

∴ So by taking common prime factors GCF of 9200 and 9204 is 4

Greatest Common Factor of 9200 and 9204 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 9204

List of positive integer factors of 9204 that divides 9204 without a remainder.

1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204

Greatest Common Factor

We found the factors and prime factorization of 9200 and 9204. The biggest common factor number is the GCF number.
So the greatest common factor 9200 and 9204 is 4.

Also check out the Least Common Multiple of 9200 and 9204

Properties of GCF 9200 and 9204

(i) The GCF of 9200 and 9204 is associative

GCF of 9200 and 9204 = GCF of 9204 and 9200

Related Greatest Common Factor of 9200

Related Greatest Common Factor of 9204

Frequently Asked Questions on GCF of 9200 and 9204

1. What is the GCF of 9200 and 9204?

Answer: GCF of 9200 and 9204 is 4.

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 9204?

Answer: Factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204. There are 24 integers that are factors of 9204. The greatest factor of 9204 is 9204.

4. How to Find the GCF of 9200 and 9204?

Answer:

Greatest Common Factor of 9200 and 9204 = 4

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 9204

9204 = 2 x 2 x 3 x 13 x 59

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 9200 and 9204 is 4