Greatest Common Factor of 12218 and 12224

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 12218, 12224 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12218 and 12224 is 2.

GCF(12218,12224) = 2

GCF of 12218 and 12224

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

GCF of:
and

Greatest Common Factor of 12218 and 12224

GCF of 12218 and 12224 is 2

Prime Factorization of 12218


2 12218
41 6109
149 149
1

Prime factors of 12218 are 2,41,149. Prime factorization of 12218 in exponential form is:

12218 = 21×411×1491

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

∴ So by taking common prime factors GCF of 12218 and 12224 is 2

Greatest Common Factor of 12218 and 12224 by matching factors method

Factors of 12218

List of positive integer factors of 12218 that divides 12218 without a remainder.

1,2,41,82,149,298,6109,12218

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

Greatest Common Factor

We found the factors and prime factorization of 12218 and 12224. The biggest common factor number is the GCF number.
So the greatest common factor 12218 and 12224 is 2.

Also check out the Least Common Multiple of 12218 and 12224

Properties of GCF 12218 and 12224

(i) The GCF of 12218 and 12224 is associative

GCF of 12218 and 12224 = GCF of 12224 and 12218

Related Greatest Common Factor of 12218

Related Greatest Common Factor of 12224

Frequently Asked Questions on GCF of 12218 and 12224

1. What is the GCF of 12218 and 12224?

Answer: GCF of 12218 and 12224 is 2.

2. What are the Factors of 12218?

Answer: Factors of 12218 are 1, 2, 41, 82, 149, 298, 6109, 12218. There are 8 integers that are factors of 12218. The greatest factor of 12218 is 12218.

3. 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.

4. How to Find the GCF of 12218 and 12224?

Answer:

Greatest Common Factor of 12218 and 12224 = 2

Step 1: Find the prime factorization of 12218

12218 = 2 x 41 x 149

Step 2: Find the prime factorization of 12224

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

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 12218 and 12224 is 2