Greatest Common Factor of 17240 and 17248

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, 17248 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17240 and 17248 is 8.

GCF(17240,17248) = 8

GCF of 17240 and 17248

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

GCF of:
and

Greatest Common Factor of 17240 and 17248

GCF of 17240 and 17248 is 8

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 17248


2 17248
2 8624
2 4312
2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 17248 are 2,7,11. Prime factorization of 17248 in exponential form is:

17248 = 25×72×111

∴ So by taking common prime factors GCF of 17240 and 17248 is 8

Greatest Common Factor of 17240 and 17248 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 17248

List of positive integer factors of 17248 that divides 17248 without a remainder.

1,2,4,7,8,11,14,16,22,28,32,44,49,56,77,88,98,112,154,176,196,224,308,352,392,539,616,784,1078,1232,1568,2156,2464,4312,8624,17248

Greatest Common Factor

We found the factors and prime factorization of 17240 and 17248. The biggest common factor number is the GCF number.
So the greatest common factor 17240 and 17248 is 8.

Also check out the Least Common Multiple of 17240 and 17248

Properties of GCF 17240 and 17248

(i) The GCF of 17240 and 17248 is associative

GCF of 17240 and 17248 = GCF of 17248 and 17240

Related Greatest Common Factor of 17240

Related Greatest Common Factor of 17248

Frequently Asked Questions on GCF of 17240 and 17248

1. What is the GCF of 17240 and 17248?

Answer: GCF of 17240 and 17248 is 8.

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 17248?

Answer: Factors of 17248 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 224, 308, 352, 392, 539, 616, 784, 1078, 1232, 1568, 2156, 2464, 4312, 8624, 17248. There are 36 integers that are factors of 17248. The greatest factor of 17248 is 17248.

4. How to Find the GCF of 17240 and 17248?

Answer:

Greatest Common Factor of 17240 and 17248 = 8

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 17248

17248 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 11

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 17240 and 17248 is 8