Greatest Common Factor of 9236 and 9244

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, 9244 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9236 and 9244 is 4.

GCF(9236,9244) = 4

GCF of 9236 and 9244

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

GCF of:
and

Greatest Common Factor of 9236 and 9244

GCF of 9236 and 9244 is 4

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 9244


2 9244
2 4622
2311 2311
1

Prime factors of 9244 are 2,2311. Prime factorization of 9244 in exponential form is:

9244 = 22×23111

∴ So by taking common prime factors GCF of 9236 and 9244 is 4

Greatest Common Factor of 9236 and 9244 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 9244

List of positive integer factors of 9244 that divides 9244 without a remainder.

1,2,4,2311,4622,9244

Greatest Common Factor

We found the factors and prime factorization of 9236 and 9244. The biggest common factor number is the GCF number.
So the greatest common factor 9236 and 9244 is 4.

Also check out the Least Common Multiple of 9236 and 9244

Properties of GCF 9236 and 9244

(i) The GCF of 9236 and 9244 is associative

GCF of 9236 and 9244 = GCF of 9244 and 9236

Frequently Asked Questions on GCF of 9236 and 9244

1. What is the GCF of 9236 and 9244?

Answer: GCF of 9236 and 9244 is 4.

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 9244?

Answer: Factors of 9244 are 1, 2, 4, 2311, 4622, 9244. There are 6 integers that are factors of 9244. The greatest factor of 9244 is 9244.

4. How to Find the GCF of 9236 and 9244?

Answer:

Greatest Common Factor of 9236 and 9244 = 4

Step 1: Find the prime factorization of 9236

9236 = 2 x 2 x 2309

Step 2: Find the prime factorization of 9244

9244 = 2 x 2 x 2311

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9236 and 9244 is 4