Greatest Common Factor of 9224 and 9228

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 9224, 9228 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9224 and 9228 is 4.

GCF(9224,9228) = 4

GCF of 9224 and 9228

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

GCF of:
and

Greatest Common Factor of 9224 and 9228

GCF of 9224 and 9228 is 4

Prime Factorization of 9224


2 9224
2 4612
2 2306
1153 1153
1

Prime factors of 9224 are 2,1153. Prime factorization of 9224 in exponential form is:

9224 = 23×11531

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

∴ So by taking common prime factors GCF of 9224 and 9228 is 4

Greatest Common Factor of 9224 and 9228 by matching factors method

Factors of 9224

List of positive integer factors of 9224 that divides 9224 without a remainder.

1,2,4,8,1153,2306,4612,9224

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

Greatest Common Factor

We found the factors and prime factorization of 9224 and 9228. The biggest common factor number is the GCF number.
So the greatest common factor 9224 and 9228 is 4.

Also check out the Least Common Multiple of 9224 and 9228

Properties of GCF 9224 and 9228

(i) The GCF of 9224 and 9228 is associative

GCF of 9224 and 9228 = GCF of 9228 and 9224

Related Greatest Common Factor of 9224

Related Greatest Common Factor of 9228

Frequently Asked Questions on GCF of 9224 and 9228

1. What is the GCF of 9224 and 9228?

Answer: GCF of 9224 and 9228 is 4.

2. What are the Factors of 9224?

Answer: Factors of 9224 are 1, 2, 4, 8, 1153, 2306, 4612, 9224. There are 8 integers that are factors of 9224. The greatest factor of 9224 is 9224.

3. 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.

4. How to Find the GCF of 9224 and 9228?

Answer:

Greatest Common Factor of 9224 and 9228 = 4

Step 1: Find the prime factorization of 9224

9224 = 2 x 2 x 2 x 1153

Step 2: Find the prime factorization of 9228

9228 = 2 x 2 x 3 x 769

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 9224 and 9228 is 4