Greatest Common Factor of 17223 and 17231

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

• Greatest Common Factor of 17223 and 17231 by prime factorization method
• Greatest Common Factor of 17223 and 17231 by matching factors method

Prime Factorization of 17223

Prime factors of 17223 are 3,5741. Prime factorization of 17223 in exponential form is:

17223 = 3¹×5741¹

Prime Factorization of 17231

Prime factors of 17231 are 17231. Prime factorization of 17231 in exponential form is:

17231 = 17231¹

∴ So by taking common prime factors GCF of 17223 and 17231 is 1

Factors of 17223

List of positive integer factors of 17223 that divides 17223 without a remainder.

1,3,5741,17223

Factors of 17231

List of positive integer factors of 17231 that divides 17231 without a remainder.

1,17231

Greatest Common Factor

We found the factors and prime factorization of 17223 and 17231. The biggest common factor number is the GCF number.
So the greatest common factor 17223 and 17231 is 1.

Also check out the Least Common Multiple of 17223 and 17231

(i) The GCF of 17223 and 17231 is associative

GCF of 17223 and 17231 = GCF of 17231 and 17223

1. What is the GCF of 17223 and 17231?

Answer: GCF of 17223 and 17231 is 1.

2. What are the Factors of 17223?

Answer: Factors of 17223 are 1, 3, 5741, 17223. There are 4 integers that are factors of 17223. The greatest factor of 17223 is 17223.

3. What are the Factors of 17231?

Answer: Factors of 17231 are 1, 17231. There are 2 integers that are factors of 17231. The greatest factor of 17231 is 17231.

4. How to Find the GCF of 17223 and 17231?

Answer:

Greatest Common Factor of 17223 and 17231 = 1

Step 1: Find the prime factorization of 17223

17223 = 3 x 5741

Step 2: Find the prime factorization of 17231

17231 = 17231

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 17223 and 17231 is 1