Greatest Common Factor of 9215 and 9223

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 9215, 9223 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9215 and 9223 is 1.

GCF(9215,9223) = 1

GCF of 9215 and 9223

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

GCF of:
and

Greatest Common Factor of 9215 and 9223

GCF of 9215 and 9223 is 1

Prime Factorization of 9215


5 9215
19 1843
97 97
1

Prime factors of 9215 are 5,19,97. Prime factorization of 9215 in exponential form is:

9215 = 51×191×971

Prime Factorization of 9223


23 9223
401 401
1

Prime factors of 9223 are 23,401. Prime factorization of 9223 in exponential form is:

9223 = 231×4011

∴ So by taking common prime factors GCF of 9215 and 9223 is 1

Greatest Common Factor of 9215 and 9223 by matching factors method

Factors of 9215

List of positive integer factors of 9215 that divides 9215 without a remainder.

1,5,19,95,97,485,1843,9215

Factors of 9223

List of positive integer factors of 9223 that divides 9223 without a remainder.

1,23,401,9223

Greatest Common Factor

We found the factors and prime factorization of 9215 and 9223. The biggest common factor number is the GCF number.
So the greatest common factor 9215 and 9223 is 1.

Also check out the Least Common Multiple of 9215 and 9223

Properties of GCF 9215 and 9223

(i) The GCF of 9215 and 9223 is associative

GCF of 9215 and 9223 = GCF of 9223 and 9215

Related Greatest Common Factor of 9215

Related Greatest Common Factor of 9223

Frequently Asked Questions on GCF of 9215 and 9223

1. What is the GCF of 9215 and 9223?

Answer: GCF of 9215 and 9223 is 1.

2. What are the Factors of 9215?

Answer: Factors of 9215 are 1, 5, 19, 95, 97, 485, 1843, 9215. There are 8 integers that are factors of 9215. The greatest factor of 9215 is 9215.

3. What are the Factors of 9223?

Answer: Factors of 9223 are 1, 23, 401, 9223. There are 4 integers that are factors of 9223. The greatest factor of 9223 is 9223.

4. How to Find the GCF of 9215 and 9223?

Answer:

Greatest Common Factor of 9215 and 9223 = 1

Step 1: Find the prime factorization of 9215

9215 = 5 x 19 x 97

Step 2: Find the prime factorization of 9223

9223 = 23 x 401

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 9215 and 9223 is 1