Greatest Common Factor of 7230 and 7234

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, 7234 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7230 and 7234 is 2.

GCF(7230,7234) = 2

GCF of 7230 and 7234

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

GCF of:
and

Greatest Common Factor of 7230 and 7234

GCF of 7230 and 7234 is 2

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 7234


2 7234
3617 3617
1

Prime factors of 7234 are 2,3617. Prime factorization of 7234 in exponential form is:

7234 = 21×36171

∴ So by taking common prime factors GCF of 7230 and 7234 is 2

Greatest Common Factor of 7230 and 7234 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 7234

List of positive integer factors of 7234 that divides 7234 without a remainder.

1,2,3617,7234

Greatest Common Factor

We found the factors and prime factorization of 7230 and 7234. The biggest common factor number is the GCF number.
So the greatest common factor 7230 and 7234 is 2.

Also check out the Least Common Multiple of 7230 and 7234

Properties of GCF 7230 and 7234

(i) The GCF of 7230 and 7234 is associative

GCF of 7230 and 7234 = GCF of 7234 and 7230

Related Greatest Common Factor of 7230

Related Greatest Common Factor of 7234

Frequently Asked Questions on GCF of 7230 and 7234

1. What is the GCF of 7230 and 7234?

Answer: GCF of 7230 and 7234 is 2.

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 7234?

Answer: Factors of 7234 are 1, 2, 3617, 7234. There are 4 integers that are factors of 7234. The greatest factor of 7234 is 7234.

4. How to Find the GCF of 7230 and 7234?

Answer:

Greatest Common Factor of 7230 and 7234 = 2

Step 1: Find the prime factorization of 7230

7230 = 2 x 3 x 5 x 241

Step 2: Find the prime factorization of 7234

7234 = 2 x 3617

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 7230 and 7234 is 2