Greatest Common Factor of 9213 and 9221

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 9213, 9221 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9213 and 9221 is 1.

GCF(9213,9221) = 1

GCF of 9213 and 9221

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

GCF of:
and

Greatest Common Factor of 9213 and 9221

GCF of 9213 and 9221 is 1

Prime Factorization of 9213


3 9213
37 3071
83 83
1

Prime factors of 9213 are 3,37,83. Prime factorization of 9213 in exponential form is:

9213 = 31×371×831

Prime Factorization of 9221


9221 9221
1

Prime factors of 9221 are 9221. Prime factorization of 9221 in exponential form is:

9221 = 92211

∴ So by taking common prime factors GCF of 9213 and 9221 is 1

Greatest Common Factor of 9213 and 9221 by matching factors method

Factors of 9213

List of positive integer factors of 9213 that divides 9213 without a remainder.

1,3,37,83,111,249,3071,9213

Factors of 9221

List of positive integer factors of 9221 that divides 9221 without a remainder.

1,9221

Greatest Common Factor

We found the factors and prime factorization of 9213 and 9221. The biggest common factor number is the GCF number.
So the greatest common factor 9213 and 9221 is 1.

Also check out the Least Common Multiple of 9213 and 9221

Properties of GCF 9213 and 9221

(i) The GCF of 9213 and 9221 is associative

GCF of 9213 and 9221 = GCF of 9221 and 9213

Related Greatest Common Factor of 9213

Related Greatest Common Factor of 9221

Frequently Asked Questions on GCF of 9213 and 9221

1. What is the GCF of 9213 and 9221?

Answer: GCF of 9213 and 9221 is 1.

2. What are the Factors of 9213?

Answer: Factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213. There are 8 integers that are factors of 9213. The greatest factor of 9213 is 9213.

3. What are the Factors of 9221?

Answer: Factors of 9221 are 1, 9221. There are 2 integers that are factors of 9221. The greatest factor of 9221 is 9221.

4. How to Find the GCF of 9213 and 9221?

Answer:

Greatest Common Factor of 9213 and 9221 = 1

Step 1: Find the prime factorization of 9213

9213 = 3 x 37 x 83

Step 2: Find the prime factorization of 9221

9221 = 9221

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 9213 and 9221 is 1