Greatest Common Factor of 9236 and 9238

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 9236, 9238 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9236 and 9238 is 2.

GCF(9236,9238) = 2

GCF of 9236 and 9238

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

GCF of:
and

Greatest Common Factor of 9236 and 9238

GCF of 9236 and 9238 is 2

Prime Factorization of 9236


2 9236
2 4618
2309 2309
1

Prime factors of 9236 are 2,2309. Prime factorization of 9236 in exponential form is:

9236 = 22×23091

Prime Factorization of 9238


2 9238
31 4619
149 149
1

Prime factors of 9238 are 2,31,149. Prime factorization of 9238 in exponential form is:

9238 = 21×311×1491

∴ So by taking common prime factors GCF of 9236 and 9238 is 2

Greatest Common Factor of 9236 and 9238 by matching factors method

Factors of 9236

List of positive integer factors of 9236 that divides 9236 without a remainder.

1,2,4,2309,4618,9236

Factors of 9238

List of positive integer factors of 9238 that divides 9238 without a remainder.

1,2,31,62,149,298,4619,9238

Greatest Common Factor

We found the factors and prime factorization of 9236 and 9238. The biggest common factor number is the GCF number.
So the greatest common factor 9236 and 9238 is 2.

Also check out the Least Common Multiple of 9236 and 9238

Properties of GCF 9236 and 9238

(i) The GCF of 9236 and 9238 is associative

GCF of 9236 and 9238 = GCF of 9238 and 9236

Related Greatest Common Factor of 9236

Related Greatest Common Factor of 9238

Frequently Asked Questions on GCF of 9236 and 9238

1. What is the GCF of 9236 and 9238?

Answer: GCF of 9236 and 9238 is 2.

2. What are the Factors of 9236?

Answer: Factors of 9236 are 1, 2, 4, 2309, 4618, 9236. There are 6 integers that are factors of 9236. The greatest factor of 9236 is 9236.

3. What are the Factors of 9238?

Answer: Factors of 9238 are 1, 2, 31, 62, 149, 298, 4619, 9238. There are 8 integers that are factors of 9238. The greatest factor of 9238 is 9238.

4. How to Find the GCF of 9236 and 9238?

Answer:

Greatest Common Factor of 9236 and 9238 = 2

Step 1: Find the prime factorization of 9236

9236 = 2 x 2 x 2309

Step 2: Find the prime factorization of 9238

9238 = 2 x 31 x 149

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 9236 and 9238 is 2