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Greatest Common Factor of 224 and 229

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 224, 229 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 224 and 229 is 1.

GCF(224,229) = 1

GCF of 224 and 229

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

GCF of:
and

Greatest Common Factor of 224 and 229 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 229


229 229
1

Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:

229 = 2291

∴ So by taking common prime factors GCF of 224 and 229 is 1

Greatest Common Factor of 224 and 229 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 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors and prime factorization of 224 and 229. The biggest common factor number is the GCF number.
So the greatest common factor 224 and 229 is 1.

Also check out the Least Common Multiple of 224 and 229

Properties of GCF 224 and 229

(i) The GCF of 224 and 229 is associative

GCF of 224 and 229 = GCF of 229 and 224

Frequently Asked Questions on GCF of 224 and 229

1. What is the GCF of 224 and 229?

Answer: GCF of 224 and 229 is 1.

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 229?

Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.

4. How to Find the GCF of 224 and 229?

Answer:

Greatest Common Factor of 224 and 229 = 1

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 229

229 = 229

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 224 and 229 is 1