Greatest Common Factor of 16206 and 16214

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 16206, 16214 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16206 and 16214 is 2.

GCF(16206,16214) = 2

GCF of 16206 and 16214

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

GCF of:
and

Greatest Common Factor of 16206 and 16214

GCF of 16206 and 16214 is 2

Prime Factorization of 16206


2 16206
3 8103
37 2701
73 73
1

Prime factors of 16206 are 2,3,37,73. Prime factorization of 16206 in exponential form is:

16206 = 21×31×371×731

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

∴ So by taking common prime factors GCF of 16206 and 16214 is 2

Greatest Common Factor of 16206 and 16214 by matching factors method

Factors of 16206

List of positive integer factors of 16206 that divides 16206 without a remainder.

1,2,3,6,37,73,74,111,146,219,222,438,2701,5402,8103,16206

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

Greatest Common Factor

We found the factors and prime factorization of 16206 and 16214. The biggest common factor number is the GCF number.
So the greatest common factor 16206 and 16214 is 2.

Also check out the Least Common Multiple of 16206 and 16214

Properties of GCF 16206 and 16214

(i) The GCF of 16206 and 16214 is associative

GCF of 16206 and 16214 = GCF of 16214 and 16206

Related Greatest Common Factor of 16206

Related Greatest Common Factor of 16214

Frequently Asked Questions on GCF of 16206 and 16214

1. What is the GCF of 16206 and 16214?

Answer: GCF of 16206 and 16214 is 2.

2. What are the Factors of 16206?

Answer: Factors of 16206 are 1, 2, 3, 6, 37, 73, 74, 111, 146, 219, 222, 438, 2701, 5402, 8103, 16206. There are 16 integers that are factors of 16206. The greatest factor of 16206 is 16206.

3. 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.

4. How to Find the GCF of 16206 and 16214?

Answer:

Greatest Common Factor of 16206 and 16214 = 2

Step 1: Find the prime factorization of 16206

16206 = 2 x 3 x 37 x 73

Step 2: Find the prime factorization of 16214

16214 = 2 x 11 x 11 x 67

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 16206 and 16214 is 2