Greatest Common Factor of 2224 and 2228

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 2224, 2228 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2224 and 2228 is 4.

GCF(2224,2228) = 4

GCF of 2224 and 2228

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

GCF of:
and

Greatest Common Factor of 2224 and 2228

GCF of 2224 and 2228 is 4

Prime Factorization of 2224


2 2224
2 1112
2 556
2 278
139 139
1

Prime factors of 2224 are 2,139. Prime factorization of 2224 in exponential form is:

2224 = 24×1391

Prime Factorization of 2228


2 2228
2 1114
557 557
1

Prime factors of 2228 are 2,557. Prime factorization of 2228 in exponential form is:

2228 = 22×5571

∴ So by taking common prime factors GCF of 2224 and 2228 is 4

Greatest Common Factor of 2224 and 2228 by matching factors method

Factors of 2224

List of positive integer factors of 2224 that divides 2224 without a remainder.

1,2,4,8,16,139,278,556,1112,2224

Factors of 2228

List of positive integer factors of 2228 that divides 2228 without a remainder.

1,2,4,557,1114,2228

Greatest Common Factor

We found the factors and prime factorization of 2224 and 2228. The biggest common factor number is the GCF number.
So the greatest common factor 2224 and 2228 is 4.

Also check out the Least Common Multiple of 2224 and 2228

Properties of GCF 2224 and 2228

(i) The GCF of 2224 and 2228 is associative

GCF of 2224 and 2228 = GCF of 2228 and 2224

Related Greatest Common Factor of 2224

Related Greatest Common Factor of 2228

Frequently Asked Questions on GCF of 2224 and 2228

1. What is the GCF of 2224 and 2228?

Answer: GCF of 2224 and 2228 is 4.

2. What are the Factors of 2224?

Answer: Factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224. There are 10 integers that are factors of 2224. The greatest factor of 2224 is 2224.

3. What are the Factors of 2228?

Answer: Factors of 2228 are 1, 2, 4, 557, 1114, 2228. There are 6 integers that are factors of 2228. The greatest factor of 2228 is 2228.

4. How to Find the GCF of 2224 and 2228?

Answer:

Greatest Common Factor of 2224 and 2228 = 4

Step 1: Find the prime factorization of 2224

2224 = 2 x 2 x 2 x 2 x 139

Step 2: Find the prime factorization of 2228

2228 = 2 x 2 x 557

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 2224 and 2228 is 4