Greatest Common Factor of 17220 and 17225

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, 17225 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17220 and 17225 is 5.

GCF(17220,17225) = 5

GCF of 17220 and 17225

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

GCF of:
and

Greatest Common Factor of 17220 and 17225

GCF of 17220 and 17225 is 5

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 17225


5 17225
5 3445
13 689
53 53
1

Prime factors of 17225 are 5,13,53. Prime factorization of 17225 in exponential form is:

17225 = 52×131×531

∴ So by taking common prime factors GCF of 17220 and 17225 is 5

Greatest Common Factor of 17220 and 17225 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 17225

List of positive integer factors of 17225 that divides 17225 without a remainder.

1,5,13,25,53,65,265,325,689,1325,3445,17225

Greatest Common Factor

We found the factors and prime factorization of 17220 and 17225. The biggest common factor number is the GCF number.
So the greatest common factor 17220 and 17225 is 5.

Also check out the Least Common Multiple of 17220 and 17225

Properties of GCF 17220 and 17225

(i) The GCF of 17220 and 17225 is associative

GCF of 17220 and 17225 = GCF of 17225 and 17220

Related Greatest Common Factor of 17220

Related Greatest Common Factor of 17225

Frequently Asked Questions on GCF of 17220 and 17225

1. What is the GCF of 17220 and 17225?

Answer: GCF of 17220 and 17225 is 5.

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 17225?

Answer: Factors of 17225 are 1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225. There are 12 integers that are factors of 17225. The greatest factor of 17225 is 17225.

4. How to Find the GCF of 17220 and 17225?

Answer:

Greatest Common Factor of 17220 and 17225 = 5

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 17225

17225 = 5 x 5 x 13 x 53

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

GCF = 5

Step 4: Therefore, the greatest common factor of 17220 and 17225 is 5