Greatest Common Factor of 9228 and 9234

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 9228, 9234 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9228 and 9234 is 6.

GCF(9228,9234) = 6

GCF of 9228 and 9234

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

GCF of:
and

Greatest Common Factor of 9228 and 9234

GCF of 9228 and 9234 is 6

Prime Factorization of 9228


2 9228
2 4614
3 2307
769 769
1

Prime factors of 9228 are 2,3,769. Prime factorization of 9228 in exponential form is:

9228 = 22×31×7691

Prime Factorization of 9234


2 9234
3 4617
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 9234 are 2,3,19. Prime factorization of 9234 in exponential form is:

9234 = 21×35×191

∴ So by taking common prime factors GCF of 9228 and 9234 is 6

Greatest Common Factor of 9228 and 9234 by matching factors method

Factors of 9228

List of positive integer factors of 9228 that divides 9228 without a remainder.

1,2,3,4,6,12,769,1538,2307,3076,4614,9228

Factors of 9234

List of positive integer factors of 9234 that divides 9234 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234

Greatest Common Factor

We found the factors and prime factorization of 9228 and 9234. The biggest common factor number is the GCF number.
So the greatest common factor 9228 and 9234 is 6.

Also check out the Least Common Multiple of 9228 and 9234

Properties of GCF 9228 and 9234

(i) The GCF of 9228 and 9234 is associative

GCF of 9228 and 9234 = GCF of 9234 and 9228

Related Greatest Common Factor of 9228

Related Greatest Common Factor of 9234

Frequently Asked Questions on GCF of 9228 and 9234

1. What is the GCF of 9228 and 9234?

Answer: GCF of 9228 and 9234 is 6.

2. What are the Factors of 9228?

Answer: Factors of 9228 are 1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228. There are 12 integers that are factors of 9228. The greatest factor of 9228 is 9228.

3. What are the Factors of 9234?

Answer: Factors of 9234 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617, 9234. There are 24 integers that are factors of 9234. The greatest factor of 9234 is 9234.

4. How to Find the GCF of 9228 and 9234?

Answer:

Greatest Common Factor of 9228 and 9234 = 6

Step 1: Find the prime factorization of 9228

9228 = 2 x 2 x 3 x 769

Step 2: Find the prime factorization of 9234

9234 = 2 x 3 x 3 x 3 x 3 x 3 x 19

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 9228 and 9234 is 6