Greatest Common Factor of 16216 and 16217

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, 16217 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16216 and 16217 is 1.

GCF(16216,16217) = 1

GCF of 16216 and 16217

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

GCF of:
and

Greatest Common Factor of 16216 and 16217

GCF of 16216 and 16217 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 16217


16217 16217
1

Prime factors of 16217 are 16217. Prime factorization of 16217 in exponential form is:

16217 = 162171

∴ So by taking common prime factors GCF of 16216 and 16217 is 1

Greatest Common Factor of 16216 and 16217 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 16217

List of positive integer factors of 16217 that divides 16217 without a remainder.

1,16217

Greatest Common Factor

We found the factors and prime factorization of 16216 and 16217. The biggest common factor number is the GCF number.
So the greatest common factor 16216 and 16217 is 1.

Also check out the Least Common Multiple of 16216 and 16217

Properties of GCF 16216 and 16217

(i) The GCF of 16216 and 16217 is associative

GCF of 16216 and 16217 = GCF of 16217 and 16216

Related Greatest Common Factor of 16216

Related Greatest Common Factor of 16217

Frequently Asked Questions on GCF of 16216 and 16217

1. What is the GCF of 16216 and 16217?

Answer: GCF of 16216 and 16217 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 16217?

Answer: Factors of 16217 are 1, 16217. There are 2 integers that are factors of 16217. The greatest factor of 16217 is 16217.

4. How to Find the GCF of 16216 and 16217?

Answer:

Greatest Common Factor of 16216 and 16217 = 1

Step 1: Find the prime factorization of 16216

16216 = 2 x 2 x 2 x 2027

Step 2: Find the prime factorization of 16217

16217 = 16217

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 16217 is 1