Greatest Common Factor of 4224 and 4230

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 4224, 4230 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4224 and 4230 is 6.

GCF(4224,4230) = 6

GCF of 4224 and 4230

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

GCF of:
and

Greatest Common Factor of 4224 and 4230

GCF of 4224 and 4230 is 6

Prime Factorization of 4224


2 4224
2 2112
2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 4224 are 2,3,11. Prime factorization of 4224 in exponential form is:

4224 = 27×31×111

Prime Factorization of 4230


2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 4230 are 2,3,5,47. Prime factorization of 4230 in exponential form is:

4230 = 21×32×51×471

∴ So by taking common prime factors GCF of 4224 and 4230 is 6

Greatest Common Factor of 4224 and 4230 by matching factors method

Factors of 4224

List of positive integer factors of 4224 that divides 4224 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,264,352,384,528,704,1056,1408,2112,4224

Factors of 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230

Greatest Common Factor

We found the factors and prime factorization of 4224 and 4230. The biggest common factor number is the GCF number.
So the greatest common factor 4224 and 4230 is 6.

Also check out the Least Common Multiple of 4224 and 4230

Properties of GCF 4224 and 4230

(i) The GCF of 4224 and 4230 is associative

GCF of 4224 and 4230 = GCF of 4230 and 4224

Related Greatest Common Factor of 4224

Related Greatest Common Factor of 4230

Frequently Asked Questions on GCF of 4224 and 4230

1. What is the GCF of 4224 and 4230?

Answer: GCF of 4224 and 4230 is 6.

2. What are the Factors of 4224?

Answer: Factors of 4224 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224. There are 32 integers that are factors of 4224. The greatest factor of 4224 is 4224.

3. What are the Factors of 4230?

Answer: Factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230. There are 24 integers that are factors of 4230. The greatest factor of 4230 is 4230.

4. How to Find the GCF of 4224 and 4230?

Answer:

Greatest Common Factor of 4224 and 4230 = 6

Step 1: Find the prime factorization of 4224

4224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 4230

4230 = 2 x 3 x 3 x 5 x 47

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 4224 and 4230 is 6