Greatest Common Factor of 9234 and 9242

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 9234, 9242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9234 and 9242 is 2.

GCF(9234,9242) = 2

GCF of 9234 and 9242

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

GCF of:
and

Greatest Common Factor of 9234 and 9242

GCF of 9234 and 9242 is 2

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

Prime Factorization of 9242


2 9242
4621 4621
1

Prime factors of 9242 are 2,4621. Prime factorization of 9242 in exponential form is:

9242 = 21×46211

∴ So by taking common prime factors GCF of 9234 and 9242 is 2

Greatest Common Factor of 9234 and 9242 by matching factors method

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

Factors of 9242

List of positive integer factors of 9242 that divides 9242 without a remainder.

1,2,4621,9242

Greatest Common Factor

We found the factors and prime factorization of 9234 and 9242. The biggest common factor number is the GCF number.
So the greatest common factor 9234 and 9242 is 2.

Also check out the Least Common Multiple of 9234 and 9242

Properties of GCF 9234 and 9242

(i) The GCF of 9234 and 9242 is associative

GCF of 9234 and 9242 = GCF of 9242 and 9234

Related Greatest Common Factor of 9234

Related Greatest Common Factor of 9242

Frequently Asked Questions on GCF of 9234 and 9242

1. What is the GCF of 9234 and 9242?

Answer: GCF of 9234 and 9242 is 2.

2. 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.

3. What are the Factors of 9242?

Answer: Factors of 9242 are 1, 2, 4621, 9242. There are 4 integers that are factors of 9242. The greatest factor of 9242 is 9242.

4. How to Find the GCF of 9234 and 9242?

Answer:

Greatest Common Factor of 9234 and 9242 = 2

Step 1: Find the prime factorization of 9234

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

Step 2: Find the prime factorization of 9242

9242 = 2 x 4621

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 9234 and 9242 is 2