Greatest Common Factor of 17240 and 17244

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 17240, 17244 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17240 and 17244 is 4.

GCF(17240,17244) = 4

GCF of 17240 and 17244

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

GCF of:
and

Greatest Common Factor of 17240 and 17244

GCF of 17240 and 17244 is 4

Prime Factorization of 17240


2 17240
2 8620
2 4310
5 2155
431 431
1

Prime factors of 17240 are 2,5,431. Prime factorization of 17240 in exponential form is:

17240 = 23×51×4311

Prime Factorization of 17244


2 17244
2 8622
3 4311
3 1437
479 479
1

Prime factors of 17244 are 2,3,479. Prime factorization of 17244 in exponential form is:

17244 = 22×32×4791

∴ So by taking common prime factors GCF of 17240 and 17244 is 4

Greatest Common Factor of 17240 and 17244 by matching factors method

Factors of 17240

List of positive integer factors of 17240 that divides 17240 without a remainder.

1,2,4,5,8,10,20,40,431,862,1724,2155,3448,4310,8620,17240

Factors of 17244

List of positive integer factors of 17244 that divides 17244 without a remainder.

1,2,3,4,6,9,12,18,36,479,958,1437,1916,2874,4311,5748,8622,17244

Greatest Common Factor

We found the factors and prime factorization of 17240 and 17244. The biggest common factor number is the GCF number.
So the greatest common factor 17240 and 17244 is 4.

Also check out the Least Common Multiple of 17240 and 17244

Properties of GCF 17240 and 17244

(i) The GCF of 17240 and 17244 is associative

GCF of 17240 and 17244 = GCF of 17244 and 17240

Related Greatest Common Factor of 17240

Related Greatest Common Factor of 17244

Frequently Asked Questions on GCF of 17240 and 17244

1. What is the GCF of 17240 and 17244?

Answer: GCF of 17240 and 17244 is 4.

2. What are the Factors of 17240?

Answer: Factors of 17240 are 1, 2, 4, 5, 8, 10, 20, 40, 431, 862, 1724, 2155, 3448, 4310, 8620, 17240. There are 16 integers that are factors of 17240. The greatest factor of 17240 is 17240.

3. What are the Factors of 17244?

Answer: Factors of 17244 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 479, 958, 1437, 1916, 2874, 4311, 5748, 8622, 17244. There are 18 integers that are factors of 17244. The greatest factor of 17244 is 17244.

4. How to Find the GCF of 17240 and 17244?

Answer:

Greatest Common Factor of 17240 and 17244 = 4

Step 1: Find the prime factorization of 17240

17240 = 2 x 2 x 2 x 5 x 431

Step 2: Find the prime factorization of 17244

17244 = 2 x 2 x 3 x 3 x 479

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 17240 and 17244 is 4