Greatest Common Factor of 4224 and 4232

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, 4232 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4224 and 4232 is 8.

GCF(4224,4232) = 8

GCF of 4224 and 4232

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

GCF of:
and

Greatest Common Factor of 4224 and 4232

GCF of 4224 and 4232 is 8

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 4232


2 4232
2 2116
2 1058
23 529
23 23
1

Prime factors of 4232 are 2,23. Prime factorization of 4232 in exponential form is:

4232 = 23×232

∴ So by taking common prime factors GCF of 4224 and 4232 is 8

Greatest Common Factor of 4224 and 4232 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 4232

List of positive integer factors of 4232 that divides 4232 without a remainder.

1,2,4,8,23,46,92,184,529,1058,2116,4232

Greatest Common Factor

We found the factors and prime factorization of 4224 and 4232. The biggest common factor number is the GCF number.
So the greatest common factor 4224 and 4232 is 8.

Also check out the Least Common Multiple of 4224 and 4232

Properties of GCF 4224 and 4232

(i) The GCF of 4224 and 4232 is associative

GCF of 4224 and 4232 = GCF of 4232 and 4224

Related Greatest Common Factor of 4224

Related Greatest Common Factor of 4232

Frequently Asked Questions on GCF of 4224 and 4232

1. What is the GCF of 4224 and 4232?

Answer: GCF of 4224 and 4232 is 8.

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 4232?

Answer: Factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232. There are 12 integers that are factors of 4232. The greatest factor of 4232 is 4232.

4. How to Find the GCF of 4224 and 4232?

Answer:

Greatest Common Factor of 4224 and 4232 = 8

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 4232

4232 = 2 x 2 x 2 x 23 x 23

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4224 and 4232 is 8