Greatest Common Factor of 17212 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 17212, 17220 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17212 and 17220 is 4.

GCF(17212,17220) = 4

GCF of 17212 and 17220

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

GCF of:
and

Greatest Common Factor of 17212 and 17220

GCF of 17212 and 17220 is 4

Prime Factorization of 17212


2 17212
2 8606
13 4303
331 331
1

Prime factors of 17212 are 2,13,331. Prime factorization of 17212 in exponential form is:

17212 = 22×131×3311

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 17212 and 17220 is 4

Greatest Common Factor of 17212 and 17220 by matching factors method

Factors of 17212

List of positive integer factors of 17212 that divides 17212 without a remainder.

1,2,4,13,26,52,331,662,1324,4303,8606,17212

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 17212 and 17220. The biggest common factor number is the GCF number.
So the greatest common factor 17212 and 17220 is 4.

Also check out the Least Common Multiple of 17212 and 17220

Properties of GCF 17212 and 17220

(i) The GCF of 17212 and 17220 is associative

GCF of 17212 and 17220 = GCF of 17220 and 17212

Related Greatest Common Factor of 17212

Related Greatest Common Factor of 17220

Frequently Asked Questions on GCF of 17212 and 17220

1. What is the GCF of 17212 and 17220?

Answer: GCF of 17212 and 17220 is 4.

2. What are the Factors of 17212?

Answer: Factors of 17212 are 1, 2, 4, 13, 26, 52, 331, 662, 1324, 4303, 8606, 17212. There are 12 integers that are factors of 17212. The greatest factor of 17212 is 17212.

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 17212 and 17220?

Answer:

Greatest Common Factor of 17212 and 17220 = 4

Step 1: Find the prime factorization of 17212

17212 = 2 x 2 x 13 x 331

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 17212 and 17220 is 4