Greatest Common Factor of 17218 and 17220

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 17218, 17220 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17218 and 17220 is 2.

GCF(17218,17220) = 2

GCF of 17218 and 17220

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

GCF of:
and

Greatest Common Factor of 17218 and 17220

GCF of 17218 and 17220 is 2

Prime Factorization of 17218


2 17218
8609 8609
1

Prime factors of 17218 are 2,8609. Prime factorization of 17218 in exponential form is:

17218 = 21×86091

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

∴ So by taking common prime factors GCF of 17218 and 17220 is 2

Greatest Common Factor of 17218 and 17220 by matching factors method

Factors of 17218

List of positive integer factors of 17218 that divides 17218 without a remainder.

1,2,8609,17218

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

Greatest Common Factor

We found the factors and prime factorization of 17218 and 17220. The biggest common factor number is the GCF number.
So the greatest common factor 17218 and 17220 is 2.

Also check out the Least Common Multiple of 17218 and 17220

Properties of GCF 17218 and 17220

(i) The GCF of 17218 and 17220 is associative

GCF of 17218 and 17220 = GCF of 17220 and 17218

Related Greatest Common Factor of 17218

Related Greatest Common Factor of 17220

Frequently Asked Questions on GCF of 17218 and 17220

1. What is the GCF of 17218 and 17220?

Answer: GCF of 17218 and 17220 is 2.

2. What are the Factors of 17218?

Answer: Factors of 17218 are 1, 2, 8609, 17218. There are 4 integers that are factors of 17218. The greatest factor of 17218 is 17218.

3. 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.

4. How to Find the GCF of 17218 and 17220?

Answer:

Greatest Common Factor of 17218 and 17220 = 2

Step 1: Find the prime factorization of 17218

17218 = 2 x 8609

Step 2: Find the prime factorization of 17220

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 17218 and 17220 is 2