Greatest Common Factor of 9213 and 9219

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, 9219 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9213 and 9219 is 3.

GCF(9213,9219) = 3

GCF of 9213 and 9219

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

GCF of:
and

Greatest Common Factor of 9213 and 9219

GCF of 9213 and 9219 is 3

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 9219


3 9219
7 3073
439 439
1

Prime factors of 9219 are 3,7,439. Prime factorization of 9219 in exponential form is:

9219 = 31×71×4391

∴ So by taking common prime factors GCF of 9213 and 9219 is 3

Greatest Common Factor of 9213 and 9219 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 9219

List of positive integer factors of 9219 that divides 9219 without a remainder.

1,3,7,21,439,1317,3073,9219

Greatest Common Factor

We found the factors and prime factorization of 9213 and 9219. The biggest common factor number is the GCF number.
So the greatest common factor 9213 and 9219 is 3.

Also check out the Least Common Multiple of 9213 and 9219

Properties of GCF 9213 and 9219

(i) The GCF of 9213 and 9219 is associative

GCF of 9213 and 9219 = GCF of 9219 and 9213

Related Greatest Common Factor of 9213

Related Greatest Common Factor of 9219

Frequently Asked Questions on GCF of 9213 and 9219

1. What is the GCF of 9213 and 9219?

Answer: GCF of 9213 and 9219 is 3.

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 9219?

Answer: Factors of 9219 are 1, 3, 7, 21, 439, 1317, 3073, 9219. There are 8 integers that are factors of 9219. The greatest factor of 9219 is 9219.

4. How to Find the GCF of 9213 and 9219?

Answer:

Greatest Common Factor of 9213 and 9219 = 3

Step 1: Find the prime factorization of 9213

9213 = 3 x 37 x 83

Step 2: Find the prime factorization of 9219

9219 = 3 x 7 x 439

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9213 and 9219 is 3