Greatest Common Factor of 9258 and 9261

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 9258, 9261 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9258 and 9261 is 3.

GCF(9258,9261) = 3

GCF of 9258 and 9261

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

GCF of:
and

Greatest Common Factor of 9258 and 9261

GCF of 9258 and 9261 is 3

Prime Factorization of 9258


2 9258
3 4629
1543 1543
1

Prime factors of 9258 are 2,3,1543. Prime factorization of 9258 in exponential form is:

9258 = 21×31×15431

Prime Factorization of 9261


3 9261
3 3087
3 1029
7 343
7 49
7 7
1

Prime factors of 9261 are 3,7. Prime factorization of 9261 in exponential form is:

9261 = 33×73

∴ So by taking common prime factors GCF of 9258 and 9261 is 3

Greatest Common Factor of 9258 and 9261 by matching factors method

Factors of 9258

List of positive integer factors of 9258 that divides 9258 without a remainder.

1,2,3,6,1543,3086,4629,9258

Factors of 9261

List of positive integer factors of 9261 that divides 9261 without a remainder.

1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261

Greatest Common Factor

We found the factors and prime factorization of 9258 and 9261. The biggest common factor number is the GCF number.
So the greatest common factor 9258 and 9261 is 3.

Also check out the Least Common Multiple of 9258 and 9261

Properties of GCF 9258 and 9261

(i) The GCF of 9258 and 9261 is associative

GCF of 9258 and 9261 = GCF of 9261 and 9258

Related Greatest Common Factor of 9258

Related Greatest Common Factor of 9261

Frequently Asked Questions on GCF of 9258 and 9261

1. What is the GCF of 9258 and 9261?

Answer: GCF of 9258 and 9261 is 3.

2. What are the Factors of 9258?

Answer: Factors of 9258 are 1, 2, 3, 6, 1543, 3086, 4629, 9258. There are 8 integers that are factors of 9258. The greatest factor of 9258 is 9258.

3. What are the Factors of 9261?

Answer: Factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261. There are 16 integers that are factors of 9261. The greatest factor of 9261 is 9261.

4. How to Find the GCF of 9258 and 9261?

Answer:

Greatest Common Factor of 9258 and 9261 = 3

Step 1: Find the prime factorization of 9258

9258 = 2 x 3 x 1543

Step 2: Find the prime factorization of 9261

9261 = 3 x 3 x 3 x 7 x 7 x 7

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 9258 and 9261 is 3