# Greatest Common Factor of 224 and 226

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 224, 226 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 224 and 226 is 2.

GCF(224,226) = 2

## GCF of 224 and 226

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

GCF of:
and

### Greatest Common Factor of 224 and 226 by Prime factorization method

Prime Factorization of 224

 2 224 2 112 2 56 2 28 2 14 7 7 1

Prime factors of 224 are 2,7. Prime factorization of 224 in exponential form is:

224 = 25×71

Prime Factorization of 226

 2 226 113 113 1

Prime factors of 226 are 2,113. Prime factorization of 226 in exponential form is:

226 = 21×1131

∴ So by taking common prime factors GCF of 224 and 226 is 2

### Greatest Common Factor of 224 and 226 by matching factors method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors and prime factorization of 224 and 226. The biggest common factor number is the GCF number.
So the greatest common factor 224 and 226 is 2.

Also check out the Least Common Multiple of 224 and 226

### Properties of GCF 224 and 226

(i) The GCF of 224 and 226 is associative

GCF of 224 and 226 = GCF of 226 and 224

### Frequently Asked Questions on GCF of 224 and 226

1. What is the GCF of 224 and 226?

Answer: GCF of 224 and 226 is 2.

2. What are the Factors of 224?

Answer: Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224. There are 12 integers that are factors of 224. The greatest factor of 224 is 224.

3. What are the Factors of 226?

Answer: Factors of 226 are 1, 2, 113, 226. There are 4 integers that are factors of 226. The greatest factor of 226 is 226.

4. How to Find the GCF of 224 and 226?

Greatest Common Factor of 224 and 226 = 2

Step 1: Find the prime factorization of 224

224 = 2 x 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 226

226 = 2 x 113

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 224 and 226 is 2