Greatest Common Factor of 12228 and 12232

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 12228, 12232 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12228 and 12232 is 4.

GCF(12228,12232) = 4

GCF of 12228 and 12232

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

GCF of:
and

Greatest Common Factor of 12228 and 12232

GCF of 12228 and 12232 is 4

Prime Factorization of 12228


2 12228
2 6114
3 3057
1019 1019
1

Prime factors of 12228 are 2,3,1019. Prime factorization of 12228 in exponential form is:

12228 = 22×31×10191

Prime Factorization of 12232


2 12232
2 6116
2 3058
11 1529
139 139
1

Prime factors of 12232 are 2,11,139. Prime factorization of 12232 in exponential form is:

12232 = 23×111×1391

∴ So by taking common prime factors GCF of 12228 and 12232 is 4

Greatest Common Factor of 12228 and 12232 by matching factors method

Factors of 12228

List of positive integer factors of 12228 that divides 12228 without a remainder.

1,2,3,4,6,12,1019,2038,3057,4076,6114,12228

Factors of 12232

List of positive integer factors of 12232 that divides 12232 without a remainder.

1,2,4,8,11,22,44,88,139,278,556,1112,1529,3058,6116,12232

Greatest Common Factor

We found the factors and prime factorization of 12228 and 12232. The biggest common factor number is the GCF number.
So the greatest common factor 12228 and 12232 is 4.

Also check out the Least Common Multiple of 12228 and 12232

Properties of GCF 12228 and 12232

(i) The GCF of 12228 and 12232 is associative

GCF of 12228 and 12232 = GCF of 12232 and 12228

Related Greatest Common Factor of 12228

Related Greatest Common Factor of 12232

Frequently Asked Questions on GCF of 12228 and 12232

1. What is the GCF of 12228 and 12232?

Answer: GCF of 12228 and 12232 is 4.

2. What are the Factors of 12228?

Answer: Factors of 12228 are 1, 2, 3, 4, 6, 12, 1019, 2038, 3057, 4076, 6114, 12228. There are 12 integers that are factors of 12228. The greatest factor of 12228 is 12228.

3. What are the Factors of 12232?

Answer: Factors of 12232 are 1, 2, 4, 8, 11, 22, 44, 88, 139, 278, 556, 1112, 1529, 3058, 6116, 12232. There are 16 integers that are factors of 12232. The greatest factor of 12232 is 12232.

4. How to Find the GCF of 12228 and 12232?

Answer:

Greatest Common Factor of 12228 and 12232 = 4

Step 1: Find the prime factorization of 12228

12228 = 2 x 2 x 3 x 1019

Step 2: Find the prime factorization of 12232

12232 = 2 x 2 x 2 x 11 x 139

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 12228 and 12232 is 4