Greatest Common Factor of 16214 and 16218

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 16214, 16218 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16214 and 16218 is 2.

GCF(16214,16218) = 2

GCF of 16214 and 16218

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

GCF of:
and

Greatest Common Factor of 16214 and 16218

GCF of 16214 and 16218 is 2

Prime Factorization of 16214


2 16214
11 8107
11 737
67 67
1

Prime factors of 16214 are 2,11,67. Prime factorization of 16214 in exponential form is:

16214 = 21×112×671

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

∴ So by taking common prime factors GCF of 16214 and 16218 is 2

Greatest Common Factor of 16214 and 16218 by matching factors method

Factors of 16214

List of positive integer factors of 16214 that divides 16214 without a remainder.

1,2,11,22,67,121,134,242,737,1474,8107,16214

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

Greatest Common Factor

We found the factors and prime factorization of 16214 and 16218. The biggest common factor number is the GCF number.
So the greatest common factor 16214 and 16218 is 2.

Also check out the Least Common Multiple of 16214 and 16218

Properties of GCF 16214 and 16218

(i) The GCF of 16214 and 16218 is associative

GCF of 16214 and 16218 = GCF of 16218 and 16214

Related Greatest Common Factor of 16214

Related Greatest Common Factor of 16218

Frequently Asked Questions on GCF of 16214 and 16218

1. What is the GCF of 16214 and 16218?

Answer: GCF of 16214 and 16218 is 2.

2. What are the Factors of 16214?

Answer: Factors of 16214 are 1, 2, 11, 22, 67, 121, 134, 242, 737, 1474, 8107, 16214. There are 12 integers that are factors of 16214. The greatest factor of 16214 is 16214.

3. 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.

4. How to Find the GCF of 16214 and 16218?

Answer:

Greatest Common Factor of 16214 and 16218 = 2

Step 1: Find the prime factorization of 16214

16214 = 2 x 11 x 11 x 67

Step 2: Find the prime factorization of 16218

16218 = 2 x 3 x 3 x 17 x 53

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 16214 and 16218 is 2