Greatest Common Factor of 16216 and 16223

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 16216, 16223 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16216 and 16223 is 1.

GCF(16216,16223) = 1

GCF of 16216 and 16223

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

GCF of:
and

Greatest Common Factor of 16216 and 16223

GCF of 16216 and 16223 is 1

Prime Factorization of 16216


2 16216
2 8108
2 4054
2027 2027
1

Prime factors of 16216 are 2,2027. Prime factorization of 16216 in exponential form is:

16216 = 23×20271

Prime Factorization of 16223


16223 16223
1

Prime factors of 16223 are 16223. Prime factorization of 16223 in exponential form is:

16223 = 162231

∴ So by taking common prime factors GCF of 16216 and 16223 is 1

Greatest Common Factor of 16216 and 16223 by matching factors method

Factors of 16216

List of positive integer factors of 16216 that divides 16216 without a remainder.

1,2,4,8,2027,4054,8108,16216

Factors of 16223

List of positive integer factors of 16223 that divides 16223 without a remainder.

1,16223

Greatest Common Factor

We found the factors and prime factorization of 16216 and 16223. The biggest common factor number is the GCF number.
So the greatest common factor 16216 and 16223 is 1.

Also check out the Least Common Multiple of 16216 and 16223

Properties of GCF 16216 and 16223

(i) The GCF of 16216 and 16223 is associative

GCF of 16216 and 16223 = GCF of 16223 and 16216

Frequently Asked Questions on GCF of 16216 and 16223

1. What is the GCF of 16216 and 16223?

Answer: GCF of 16216 and 16223 is 1.

2. What are the Factors of 16216?

Answer: Factors of 16216 are 1, 2, 4, 8, 2027, 4054, 8108, 16216. There are 8 integers that are factors of 16216. The greatest factor of 16216 is 16216.

3. What are the Factors of 16223?

Answer: Factors of 16223 are 1, 16223. There are 2 integers that are factors of 16223. The greatest factor of 16223 is 16223.

4. How to Find the GCF of 16216 and 16223?

Answer:

Greatest Common Factor of 16216 and 16223 = 1

Step 1: Find the prime factorization of 16216

16216 = 2 x 2 x 2 x 2027

Step 2: Find the prime factorization of 16223

16223 = 16223

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 16216 and 16223 is 1