Greatest Common Factor of 4216 and 4224

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 4216, 4224 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4216 and 4224 is 8.

GCF(4216,4224) = 8

GCF of 4216 and 4224

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

GCF of:
and

Greatest Common Factor of 4216 and 4224

GCF of 4216 and 4224 is 8

Prime Factorization of 4216


2 4216
2 2108
2 1054
17 527
31 31
1

Prime factors of 4216 are 2,17,31. Prime factorization of 4216 in exponential form is:

4216 = 23×171×311

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

∴ So by taking common prime factors GCF of 4216 and 4224 is 8

Greatest Common Factor of 4216 and 4224 by matching factors method

Factors of 4216

List of positive integer factors of 4216 that divides 4216 without a remainder.

1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216

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

Greatest Common Factor

We found the factors and prime factorization of 4216 and 4224. The biggest common factor number is the GCF number.
So the greatest common factor 4216 and 4224 is 8.

Also check out the Least Common Multiple of 4216 and 4224

Properties of GCF 4216 and 4224

(i) The GCF of 4216 and 4224 is associative

GCF of 4216 and 4224 = GCF of 4224 and 4216

Related Greatest Common Factor of 4216

Related Greatest Common Factor of 4224

Frequently Asked Questions on GCF of 4216 and 4224

1. What is the GCF of 4216 and 4224?

Answer: GCF of 4216 and 4224 is 8.

2. What are the Factors of 4216?

Answer: Factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216. There are 16 integers that are factors of 4216. The greatest factor of 4216 is 4216.

3. 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.

4. How to Find the GCF of 4216 and 4224?

Answer:

Greatest Common Factor of 4216 and 4224 = 8

Step 1: Find the prime factorization of 4216

4216 = 2 x 2 x 2 x 17 x 31

Step 2: 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 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 4216 and 4224 is 8