Greatest Common Factor of 9210 and 9214

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 9210, 9214 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9210 and 9214 is 2.

GCF(9210,9214) = 2

GCF of 9210 and 9214

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

GCF of:
and

Greatest Common Factor of 9210 and 9214

GCF of 9210 and 9214 is 2

Prime Factorization of 9210


2 9210
3 4605
5 1535
307 307
1

Prime factors of 9210 are 2,3,5,307. Prime factorization of 9210 in exponential form is:

9210 = 21×31×51×3071

Prime Factorization of 9214


2 9214
17 4607
271 271
1

Prime factors of 9214 are 2,17,271. Prime factorization of 9214 in exponential form is:

9214 = 21×171×2711

∴ So by taking common prime factors GCF of 9210 and 9214 is 2

Greatest Common Factor of 9210 and 9214 by matching factors method

Factors of 9210

List of positive integer factors of 9210 that divides 9210 without a remainder.

1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210

Factors of 9214

List of positive integer factors of 9214 that divides 9214 without a remainder.

1,2,17,34,271,542,4607,9214

Greatest Common Factor

We found the factors and prime factorization of 9210 and 9214. The biggest common factor number is the GCF number.
So the greatest common factor 9210 and 9214 is 2.

Also check out the Least Common Multiple of 9210 and 9214

Properties of GCF 9210 and 9214

(i) The GCF of 9210 and 9214 is associative

GCF of 9210 and 9214 = GCF of 9214 and 9210

Related Greatest Common Factor of 9210

Related Greatest Common Factor of 9214

Frequently Asked Questions on GCF of 9210 and 9214

1. What is the GCF of 9210 and 9214?

Answer: GCF of 9210 and 9214 is 2.

2. What are the Factors of 9210?

Answer: Factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210. There are 16 integers that are factors of 9210. The greatest factor of 9210 is 9210.

3. What are the Factors of 9214?

Answer: Factors of 9214 are 1, 2, 17, 34, 271, 542, 4607, 9214. There are 8 integers that are factors of 9214. The greatest factor of 9214 is 9214.

4. How to Find the GCF of 9210 and 9214?

Answer:

Greatest Common Factor of 9210 and 9214 = 2

Step 1: Find the prime factorization of 9210

9210 = 2 x 3 x 5 x 307

Step 2: Find the prime factorization of 9214

9214 = 2 x 17 x 271

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9210 and 9214 is 2