Greatest Common Factor of 7224 and 7230

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 7224, 7230 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7224 and 7230 is 6.

GCF(7224,7230) = 6

GCF of 7224 and 7230

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

GCF of:
and

Greatest Common Factor of 7224 and 7230

GCF of 7224 and 7230 is 6

Prime Factorization of 7224


2 7224
2 3612
2 1806
3 903
7 301
43 43
1

Prime factors of 7224 are 2,3,7,43. Prime factorization of 7224 in exponential form is:

7224 = 23×31×71×431

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

∴ So by taking common prime factors GCF of 7224 and 7230 is 6

Greatest Common Factor of 7224 and 7230 by matching factors method

Factors of 7224

List of positive integer factors of 7224 that divides 7224 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224

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

Greatest Common Factor

We found the factors and prime factorization of 7224 and 7230. The biggest common factor number is the GCF number.
So the greatest common factor 7224 and 7230 is 6.

Also check out the Least Common Multiple of 7224 and 7230

Properties of GCF 7224 and 7230

(i) The GCF of 7224 and 7230 is associative

GCF of 7224 and 7230 = GCF of 7230 and 7224

Related Greatest Common Factor of 7224

Related Greatest Common Factor of 7230

Frequently Asked Questions on GCF of 7224 and 7230

1. What is the GCF of 7224 and 7230?

Answer: GCF of 7224 and 7230 is 6.

2. What are the Factors of 7224?

Answer: Factors of 7224 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612, 7224. There are 32 integers that are factors of 7224. The greatest factor of 7224 is 7224.

3. 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.

4. How to Find the GCF of 7224 and 7230?

Answer:

Greatest Common Factor of 7224 and 7230 = 6

Step 1: Find the prime factorization of 7224

7224 = 2 x 2 x 2 x 3 x 7 x 43

Step 2: Find the prime factorization of 7230

7230 = 2 x 3 x 5 x 241

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7224 and 7230 is 6