Greatest Common Factor of 2220 and 2224

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 2220, 2224 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2220 and 2224 is 4.

GCF(2220,2224) = 4

GCF of 2220 and 2224

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

GCF of:
and

Greatest Common Factor of 2220 and 2224

GCF of 2220 and 2224 is 4

Prime Factorization of 2220


2 2220
2 1110
3 555
5 185
37 37
1

Prime factors of 2220 are 2,3,5,37. Prime factorization of 2220 in exponential form is:

2220 = 22×31×51×371

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

∴ So by taking common prime factors GCF of 2220 and 2224 is 4

Greatest Common Factor of 2220 and 2224 by matching factors method

Factors of 2220

List of positive integer factors of 2220 that divides 2220 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220

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

Greatest Common Factor

We found the factors and prime factorization of 2220 and 2224. The biggest common factor number is the GCF number.
So the greatest common factor 2220 and 2224 is 4.

Also check out the Least Common Multiple of 2220 and 2224

Properties of GCF 2220 and 2224

(i) The GCF of 2220 and 2224 is associative

GCF of 2220 and 2224 = GCF of 2224 and 2220

Related Greatest Common Factor of 2220

Related Greatest Common Factor of 2224

Frequently Asked Questions on GCF of 2220 and 2224

1. What is the GCF of 2220 and 2224?

Answer: GCF of 2220 and 2224 is 4.

2. What are the Factors of 2220?

Answer: Factors of 2220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220. There are 24 integers that are factors of 2220. The greatest factor of 2220 is 2220.

3. 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.

4. How to Find the GCF of 2220 and 2224?

Answer:

Greatest Common Factor of 2220 and 2224 = 4

Step 1: Find the prime factorization of 2220

2220 = 2 x 2 x 3 x 5 x 37

Step 2: Find the prime factorization of 2224

2224 = 2 x 2 x 2 x 2 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 = 4

Step 4: Therefore, the greatest common factor of 2220 and 2224 is 4