Greatest Common Factor of 16218 and 16224

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 16218, 16224 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16218 and 16224 is 6.

GCF(16218,16224) = 6

GCF of 16218 and 16224

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

GCF of:
and

Greatest Common Factor of 16218 and 16224

GCF of 16218 and 16224 is 6

Prime Factorization of 16218


2 16218
3 8109
3 2703
17 901
53 53
1

Prime factors of 16218 are 2,3,17,53. Prime factorization of 16218 in exponential form is:

16218 = 21×32×171×531

Prime Factorization of 16224


2 16224
2 8112
2 4056
2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 16224 are 2,3,13. Prime factorization of 16224 in exponential form is:

16224 = 25×31×132

∴ So by taking common prime factors GCF of 16218 and 16224 is 6

Greatest Common Factor of 16218 and 16224 by matching factors method

Factors of 16218

List of positive integer factors of 16218 that divides 16218 without a remainder.

1,2,3,6,9,17,18,34,51,53,102,106,153,159,306,318,477,901,954,1802,2703,5406,8109,16218

Factors of 16224

List of positive integer factors of 16224 that divides 16224 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,169,208,312,338,416,507,624,676,1014,1248,1352,2028,2704,4056,5408,8112,16224

Greatest Common Factor

We found the factors and prime factorization of 16218 and 16224. The biggest common factor number is the GCF number.
So the greatest common factor 16218 and 16224 is 6.

Also check out the Least Common Multiple of 16218 and 16224

Properties of GCF 16218 and 16224

(i) The GCF of 16218 and 16224 is associative

GCF of 16218 and 16224 = GCF of 16224 and 16218

Related Greatest Common Factor of 16218

Related Greatest Common Factor of 16224

Frequently Asked Questions on GCF of 16218 and 16224

1. What is the GCF of 16218 and 16224?

Answer: GCF of 16218 and 16224 is 6.

2. What are the Factors of 16218?

Answer: Factors of 16218 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 53, 102, 106, 153, 159, 306, 318, 477, 901, 954, 1802, 2703, 5406, 8109, 16218. There are 24 integers that are factors of 16218. The greatest factor of 16218 is 16218.

3. What are the Factors of 16224?

Answer: Factors of 16224 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 169, 208, 312, 338, 416, 507, 624, 676, 1014, 1248, 1352, 2028, 2704, 4056, 5408, 8112, 16224. There are 36 integers that are factors of 16224. The greatest factor of 16224 is 16224.

4. How to Find the GCF of 16218 and 16224?

Answer:

Greatest Common Factor of 16218 and 16224 = 6

Step 1: Find the prime factorization of 16218

16218 = 2 x 3 x 3 x 17 x 53

Step 2: Find the prime factorization of 16224

16224 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 13

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 16218 and 16224 is 6