Greatest Common Factor of 17220 and 17224

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 17220, 17224 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17220 and 17224 is 4.

GCF(17220,17224) = 4

GCF of 17220 and 17224

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

GCF of:
and

Greatest Common Factor of 17220 and 17224

GCF of 17220 and 17224 is 4

Prime Factorization of 17220


2 17220
2 8610
3 4305
5 1435
7 287
41 41
1

Prime factors of 17220 are 2,3,5,7,41. Prime factorization of 17220 in exponential form is:

17220 = 22×31×51×71×411

Prime Factorization of 17224


2 17224
2 8612
2 4306
2153 2153
1

Prime factors of 17224 are 2,2153. Prime factorization of 17224 in exponential form is:

17224 = 23×21531

∴ So by taking common prime factors GCF of 17220 and 17224 is 4

Greatest Common Factor of 17220 and 17224 by matching factors method

Factors of 17220

List of positive integer factors of 17220 that divides 17220 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,41,42,60,70,82,84,105,123,140,164,205,210,246,287,410,420,492,574,615,820,861,1148,1230,1435,1722,2460,2870,3444,4305,5740,8610,17220

Factors of 17224

List of positive integer factors of 17224 that divides 17224 without a remainder.

1,2,4,8,2153,4306,8612,17224

Greatest Common Factor

We found the factors and prime factorization of 17220 and 17224. The biggest common factor number is the GCF number.
So the greatest common factor 17220 and 17224 is 4.

Also check out the Least Common Multiple of 17220 and 17224

Properties of GCF 17220 and 17224

(i) The GCF of 17220 and 17224 is associative

GCF of 17220 and 17224 = GCF of 17224 and 17220

Related Greatest Common Factor of 17220

Related Greatest Common Factor of 17224

Frequently Asked Questions on GCF of 17220 and 17224

1. What is the GCF of 17220 and 17224?

Answer: GCF of 17220 and 17224 is 4.

2. What are the Factors of 17220?

Answer: Factors of 17220 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 41, 42, 60, 70, 82, 84, 105, 123, 140, 164, 205, 210, 246, 287, 410, 420, 492, 574, 615, 820, 861, 1148, 1230, 1435, 1722, 2460, 2870, 3444, 4305, 5740, 8610, 17220. There are 48 integers that are factors of 17220. The greatest factor of 17220 is 17220.

3. What are the Factors of 17224?

Answer: Factors of 17224 are 1, 2, 4, 8, 2153, 4306, 8612, 17224. There are 8 integers that are factors of 17224. The greatest factor of 17224 is 17224.

4. How to Find the GCF of 17220 and 17224?

Answer:

Greatest Common Factor of 17220 and 17224 = 4

Step 1: Find the prime factorization of 17220

17220 = 2 x 2 x 3 x 5 x 7 x 41

Step 2: Find the prime factorization of 17224

17224 = 2 x 2 x 2 x 2153

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 17220 and 17224 is 4