Greatest Common Factor of 4224 and 4228

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, 4228 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4224 and 4228 is 4.

GCF(4224,4228) = 4

GCF of 4224 and 4228

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

GCF of:
and

Greatest Common Factor of 4224 and 4228

GCF of 4224 and 4228 is 4

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 4228


2 4228
2 2114
7 1057
151 151
1

Prime factors of 4228 are 2,7,151. Prime factorization of 4228 in exponential form is:

4228 = 22×71×1511

∴ So by taking common prime factors GCF of 4224 and 4228 is 4

Greatest Common Factor of 4224 and 4228 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 4228

List of positive integer factors of 4228 that divides 4228 without a remainder.

1,2,4,7,14,28,151,302,604,1057,2114,4228

Greatest Common Factor

We found the factors and prime factorization of 4224 and 4228. The biggest common factor number is the GCF number.
So the greatest common factor 4224 and 4228 is 4.

Also check out the Least Common Multiple of 4224 and 4228

Properties of GCF 4224 and 4228

(i) The GCF of 4224 and 4228 is associative

GCF of 4224 and 4228 = GCF of 4228 and 4224

Related Greatest Common Factor of 4224

Related Greatest Common Factor of 4228

Frequently Asked Questions on GCF of 4224 and 4228

1. What is the GCF of 4224 and 4228?

Answer: GCF of 4224 and 4228 is 4.

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 4228?

Answer: Factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228. There are 12 integers that are factors of 4228. The greatest factor of 4228 is 4228.

4. How to Find the GCF of 4224 and 4228?

Answer:

Greatest Common Factor of 4224 and 4228 = 4

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 4228

4228 = 2 x 2 x 7 x 151

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4224 and 4228 is 4