Greatest Common Factor of 221 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 221, 223 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 221 and 223 is 1.

GCF(221,223) = 1

GCF of 221 and 223

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

GCF of:
and

Greatest Common Factor of 221 and 223

GCF of 221 and 223 is 1

Prime Factorization of 221


13 221
17 17
1

Prime factors of 221 are 13,17. Prime factorization of 221 in exponential form is:

221 = 131×171

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 221 and 223 is 1

Greatest Common Factor of 221 and 223 by matching factors method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

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 221 and 223. The biggest common factor number is the GCF number.
So the greatest common factor 221 and 223 is 1.

Also check out the Least Common Multiple of 221 and 223

Properties of GCF 221 and 223

(i) The GCF of 221 and 223 is associative

GCF of 221 and 223 = GCF of 223 and 221

Related Greatest Common Factor of 221

Related Greatest Common Factor of 223

Frequently Asked Questions on GCF of 221 and 223

1. What is the GCF of 221 and 223?

Answer: GCF of 221 and 223 is 1.

2. What are the Factors of 221?

Answer: Factors of 221 are 1, 13, 17, 221. There are 4 integers that are factors of 221. The greatest factor of 221 is 221.

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 221 and 223?

Answer:

Greatest Common Factor of 221 and 223 = 1

Step 1: Find the prime factorization of 221

221 = 13 x 17

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 221 and 223 is 1