Greatest Common Factor of 16218 and 16226

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, 16226 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16218 and 16226 is 2.

GCF(16218,16226) = 2

GCF of 16218 and 16226

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

GCF of:
and

Greatest Common Factor of 16218 and 16226

GCF of 16218 and 16226 is 2

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 16226


2 16226
7 8113
19 1159
61 61
1

Prime factors of 16226 are 2,7,19,61. Prime factorization of 16226 in exponential form is:

16226 = 21×71×191×611

∴ So by taking common prime factors GCF of 16218 and 16226 is 2

Greatest Common Factor of 16218 and 16226 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 16226

List of positive integer factors of 16226 that divides 16226 without a remainder.

1,2,7,14,19,38,61,122,133,266,427,854,1159,2318,8113,16226

Greatest Common Factor

We found the factors and prime factorization of 16218 and 16226. The biggest common factor number is the GCF number.
So the greatest common factor 16218 and 16226 is 2.

Also check out the Least Common Multiple of 16218 and 16226

Properties of GCF 16218 and 16226

(i) The GCF of 16218 and 16226 is associative

GCF of 16218 and 16226 = GCF of 16226 and 16218

Related Greatest Common Factor of 16218

Related Greatest Common Factor of 16226

Frequently Asked Questions on GCF of 16218 and 16226

1. What is the GCF of 16218 and 16226?

Answer: GCF of 16218 and 16226 is 2.

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 16226?

Answer: Factors of 16226 are 1, 2, 7, 14, 19, 38, 61, 122, 133, 266, 427, 854, 1159, 2318, 8113, 16226. There are 16 integers that are factors of 16226. The greatest factor of 16226 is 16226.

4. How to Find the GCF of 16218 and 16226?

Answer:

Greatest Common Factor of 16218 and 16226 = 2

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 16226

16226 = 2 x 7 x 19 x 61

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

GCF = 2

Step 4: Therefore, the greatest common factor of 16218 and 16226 is 2