Greatest Common Factor of 17220 and 17227

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, 17227 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17220 and 17227 is 7.

GCF(17220,17227) = 7

GCF of 17220 and 17227

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

GCF of:
and

Greatest Common Factor of 17220 and 17227

GCF of 17220 and 17227 is 7

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 17227


7 17227
23 2461
107 107
1

Prime factors of 17227 are 7,23,107. Prime factorization of 17227 in exponential form is:

17227 = 71×231×1071

∴ So by taking common prime factors GCF of 17220 and 17227 is 7

Greatest Common Factor of 17220 and 17227 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 17227

List of positive integer factors of 17227 that divides 17227 without a remainder.

1,7,23,107,161,749,2461,17227

Greatest Common Factor

We found the factors and prime factorization of 17220 and 17227. The biggest common factor number is the GCF number.
So the greatest common factor 17220 and 17227 is 7.

Also check out the Least Common Multiple of 17220 and 17227

Properties of GCF 17220 and 17227

(i) The GCF of 17220 and 17227 is associative

GCF of 17220 and 17227 = GCF of 17227 and 17220

Related Greatest Common Factor of 17220

Related Greatest Common Factor of 17227

Frequently Asked Questions on GCF of 17220 and 17227

1. What is the GCF of 17220 and 17227?

Answer: GCF of 17220 and 17227 is 7.

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 17227?

Answer: Factors of 17227 are 1, 7, 23, 107, 161, 749, 2461, 17227. There are 8 integers that are factors of 17227. The greatest factor of 17227 is 17227.

4. How to Find the GCF of 17220 and 17227?

Answer:

Greatest Common Factor of 17220 and 17227 = 7

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 17227

17227 = 7 x 23 x 107

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

GCF = 7

Step 4: Therefore, the greatest common factor of 17220 and 17227 is 7