Greatest Common Factor of 7230 and 7233

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 7230, 7233 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7230 and 7233 is 3.

GCF(7230,7233) = 3

GCF of 7230 and 7233

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

GCF of:
and

Greatest Common Factor of 7230 and 7233

GCF of 7230 and 7233 is 3

Prime Factorization of 7230


2 7230
3 3615
5 1205
241 241
1

Prime factors of 7230 are 2,3,5,241. Prime factorization of 7230 in exponential form is:

7230 = 21×31×51×2411

Prime Factorization of 7233


3 7233
2411 2411
1

Prime factors of 7233 are 3,2411. Prime factorization of 7233 in exponential form is:

7233 = 31×24111

∴ So by taking common prime factors GCF of 7230 and 7233 is 3

Greatest Common Factor of 7230 and 7233 by matching factors method

Factors of 7230

List of positive integer factors of 7230 that divides 7230 without a remainder.

1,2,3,5,6,10,15,30,241,482,723,1205,1446,2410,3615,7230

Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1,3,2411,7233

Greatest Common Factor

We found the factors and prime factorization of 7230 and 7233. The biggest common factor number is the GCF number.
So the greatest common factor 7230 and 7233 is 3.

Also check out the Least Common Multiple of 7230 and 7233

Properties of GCF 7230 and 7233

(i) The GCF of 7230 and 7233 is associative

GCF of 7230 and 7233 = GCF of 7233 and 7230

Related Greatest Common Factor of 7230

Related Greatest Common Factor of 7233

Frequently Asked Questions on GCF of 7230 and 7233

1. What is the GCF of 7230 and 7233?

Answer: GCF of 7230 and 7233 is 3.

2. What are the Factors of 7230?

Answer: Factors of 7230 are 1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615, 7230. There are 16 integers that are factors of 7230. The greatest factor of 7230 is 7230.

3. What are the Factors of 7233?

Answer: Factors of 7233 are 1, 3, 2411, 7233. There are 4 integers that are factors of 7233. The greatest factor of 7233 is 7233.

4. How to Find the GCF of 7230 and 7233?

Answer:

Greatest Common Factor of 7230 and 7233 = 3

Step 1: Find the prime factorization of 7230

7230 = 2 x 3 x 5 x 241

Step 2: Find the prime factorization of 7233

7233 = 3 x 2411

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7230 and 7233 is 3