Greatest Common Factor of 14217 and 14223

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 14217, 14223 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14217 and 14223 is 3.

GCF(14217,14223) = 3

GCF of 14217 and 14223

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

GCF of:
and

Greatest Common Factor of 14217 and 14223

GCF of 14217 and 14223 is 3

Prime Factorization of 14217


3 14217
7 4739
677 677
1

Prime factors of 14217 are 3,7,677. Prime factorization of 14217 in exponential form is:

14217 = 31×71×6771

Prime Factorization of 14223


3 14223
11 4741
431 431
1

Prime factors of 14223 are 3,11,431. Prime factorization of 14223 in exponential form is:

14223 = 31×111×4311

∴ So by taking common prime factors GCF of 14217 and 14223 is 3

Greatest Common Factor of 14217 and 14223 by matching factors method

Factors of 14217

List of positive integer factors of 14217 that divides 14217 without a remainder.

1,3,7,21,677,2031,4739,14217

Factors of 14223

List of positive integer factors of 14223 that divides 14223 without a remainder.

1,3,11,33,431,1293,4741,14223

Greatest Common Factor

We found the factors and prime factorization of 14217 and 14223. The biggest common factor number is the GCF number.
So the greatest common factor 14217 and 14223 is 3.

Also check out the Least Common Multiple of 14217 and 14223

Properties of GCF 14217 and 14223

(i) The GCF of 14217 and 14223 is associative

GCF of 14217 and 14223 = GCF of 14223 and 14217

Related Greatest Common Factor of 14217

Related Greatest Common Factor of 14223

Frequently Asked Questions on GCF of 14217 and 14223

1. What is the GCF of 14217 and 14223?

Answer: GCF of 14217 and 14223 is 3.

2. What are the Factors of 14217?

Answer: Factors of 14217 are 1, 3, 7, 21, 677, 2031, 4739, 14217. There are 8 integers that are factors of 14217. The greatest factor of 14217 is 14217.

3. What are the Factors of 14223?

Answer: Factors of 14223 are 1, 3, 11, 33, 431, 1293, 4741, 14223. There are 8 integers that are factors of 14223. The greatest factor of 14223 is 14223.

4. How to Find the GCF of 14217 and 14223?

Answer:

Greatest Common Factor of 14217 and 14223 = 3

Step 1: Find the prime factorization of 14217

14217 = 3 x 7 x 677

Step 2: Find the prime factorization of 14223

14223 = 3 x 11 x 431

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

GCF = 3

Step 4: Therefore, the greatest common factor of 14217 and 14223 is 3