Greatest Common Factor of 217 and 223

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 217, 223 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 217 and 223 is 1.

GCF(217,223) = 1

GCF of 217 and 223

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

GCF of:
and

Greatest Common Factor of 217 and 223

GCF of 217 and 223 is 1

Prime Factorization of 217


7 217
31 31
1

Prime factors of 217 are 7,31. Prime factorization of 217 in exponential form is:

217 = 71×311

Prime Factorization of 223


223 223
1

Prime factors of 223 are 223. Prime factorization of 223 in exponential form is:

223 = 2231

∴ So by taking common prime factors GCF of 217 and 223 is 1

Greatest Common Factor of 217 and 223 by matching factors method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors and prime factorization of 217 and 223. The biggest common factor number is the GCF number.
So the greatest common factor 217 and 223 is 1.

Also check out the Least Common Multiple of 217 and 223

Properties of GCF 217 and 223

(i) The GCF of 217 and 223 is associative

GCF of 217 and 223 = GCF of 223 and 217

Related Greatest Common Factor of 217

Related Greatest Common Factor of 223

Frequently Asked Questions on GCF of 217 and 223

1. What is the GCF of 217 and 223?

Answer: GCF of 217 and 223 is 1.

2. What are the Factors of 217?

Answer: Factors of 217 are 1, 7, 31, 217. There are 4 integers that are factors of 217. The greatest factor of 217 is 217.

3. What are the Factors of 223?

Answer: Factors of 223 are 1, 223. There are 2 integers that are factors of 223. The greatest factor of 223 is 223.

4. How to Find the GCF of 217 and 223?

Answer:

Greatest Common Factor of 217 and 223 = 1

Step 1: Find the prime factorization of 217

217 = 7 x 31

Step 2: Find the prime factorization of 223

223 = 223

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 217 and 223 is 1