Greatest Common Factor of 7230 and 7238

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, 7238 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7230 and 7238 is 2.

GCF(7230,7238) = 2

GCF of 7230 and 7238

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

GCF of:
and

Greatest Common Factor of 7230 and 7238

GCF of 7230 and 7238 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 7238


2 7238
7 3619
11 517
47 47
1

Prime factors of 7238 are 2,7,11,47. Prime factorization of 7238 in exponential form is:

7238 = 21×71×111×471

∴ So by taking common prime factors GCF of 7230 and 7238 is 2

Greatest Common Factor of 7230 and 7238 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 7238

List of positive integer factors of 7238 that divides 7238 without a remainder.

1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238

Greatest Common Factor

We found the factors and prime factorization of 7230 and 7238. The biggest common factor number is the GCF number.
So the greatest common factor 7230 and 7238 is 2.

Also check out the Least Common Multiple of 7230 and 7238

Properties of GCF 7230 and 7238

(i) The GCF of 7230 and 7238 is associative

GCF of 7230 and 7238 = GCF of 7238 and 7230

Related Greatest Common Factor of 7230

Related Greatest Common Factor of 7238

Frequently Asked Questions on GCF of 7230 and 7238

1. What is the GCF of 7230 and 7238?

Answer: GCF of 7230 and 7238 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 7238?

Answer: Factors of 7238 are 1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619, 7238. There are 16 integers that are factors of 7238. The greatest factor of 7238 is 7238.

4. How to Find the GCF of 7230 and 7238?

Answer:

Greatest Common Factor of 7230 and 7238 = 2

Step 1: Find the prime factorization of 7230

7230 = 2 x 3 x 5 x 241

Step 2: Find the prime factorization of 7238

7238 = 2 x 7 x 11 x 47

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 7238 is 2