Greatest Common Factor of 9204 and 9210

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 9204, 9210 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9204 and 9210 is 6.

GCF(9204,9210) = 6

GCF of 9204 and 9210

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

GCF of:
and

Greatest Common Factor of 9204 and 9210

GCF of 9204 and 9210 is 6

Prime Factorization of 9204


2 9204
2 4602
3 2301
13 767
59 59
1

Prime factors of 9204 are 2,3,13,59. Prime factorization of 9204 in exponential form is:

9204 = 22×31×131×591

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

∴ So by taking common prime factors GCF of 9204 and 9210 is 6

Greatest Common Factor of 9204 and 9210 by matching factors method

Factors of 9204

List of positive integer factors of 9204 that divides 9204 without a remainder.

1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204

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

Greatest Common Factor

We found the factors and prime factorization of 9204 and 9210. The biggest common factor number is the GCF number.
So the greatest common factor 9204 and 9210 is 6.

Also check out the Least Common Multiple of 9204 and 9210

Properties of GCF 9204 and 9210

(i) The GCF of 9204 and 9210 is associative

GCF of 9204 and 9210 = GCF of 9210 and 9204

Related Greatest Common Factor of 9204

Related Greatest Common Factor of 9210

Frequently Asked Questions on GCF of 9204 and 9210

1. What is the GCF of 9204 and 9210?

Answer: GCF of 9204 and 9210 is 6.

2. What are the Factors of 9204?

Answer: Factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204. There are 24 integers that are factors of 9204. The greatest factor of 9204 is 9204.

3. 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.

4. How to Find the GCF of 9204 and 9210?

Answer:

Greatest Common Factor of 9204 and 9210 = 6

Step 1: Find the prime factorization of 9204

9204 = 2 x 2 x 3 x 13 x 59

Step 2: Find the prime factorization of 9210

9210 = 2 x 3 x 5 x 307

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9204 and 9210 is 6