Greatest Common Factor of 12224 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 12224, 12232 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12224 and 12232 is 8.

GCF(12224,12232) = 8

GCF of 12224 and 12232

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

GCF of:
and

Greatest Common Factor of 12224 and 12232

GCF of 12224 and 12232 is 8

Prime Factorization of 12224


2 12224
2 6112
2 3056
2 1528
2 764
2 382
191 191
1

Prime factors of 12224 are 2,191. Prime factorization of 12224 in exponential form is:

12224 = 26×1911

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 12224 and 12232 is 8

Greatest Common Factor of 12224 and 12232 by matching factors method

Factors of 12224

List of positive integer factors of 12224 that divides 12224 without a remainder.

1,2,4,8,16,32,64,191,382,764,1528,3056,6112,12224

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 12224 and 12232. The biggest common factor number is the GCF number.
So the greatest common factor 12224 and 12232 is 8.

Also check out the Least Common Multiple of 12224 and 12232

Properties of GCF 12224 and 12232

(i) The GCF of 12224 and 12232 is associative

GCF of 12224 and 12232 = GCF of 12232 and 12224

Related Greatest Common Factor of 12224

Related Greatest Common Factor of 12232

Frequently Asked Questions on GCF of 12224 and 12232

1. What is the GCF of 12224 and 12232?

Answer: GCF of 12224 and 12232 is 8.

2. What are the Factors of 12224?

Answer: Factors of 12224 are 1, 2, 4, 8, 16, 32, 64, 191, 382, 764, 1528, 3056, 6112, 12224. There are 14 integers that are factors of 12224. The greatest factor of 12224 is 12224.

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 12224 and 12232?

Answer:

Greatest Common Factor of 12224 and 12232 = 8

Step 1: Find the prime factorization of 12224

12224 = 2 x 2 x 2 x 2 x 2 x 2 x 191

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 12224 and 12232 is 8