Greatest Common Factor of 17336 and 17344

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 17336, 17344 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17336 and 17344 is 8.

GCF(17336,17344) = 8

GCF of 17336 and 17344

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

GCF of:
and

Greatest Common Factor of 17336 and 17344

GCF of 17336 and 17344 is 8

Prime Factorization of 17336


2 17336
2 8668
2 4334
11 2167
197 197
1

Prime factors of 17336 are 2,11,197. Prime factorization of 17336 in exponential form is:

17336 = 23×111×1971

Prime Factorization of 17344


2 17344
2 8672
2 4336
2 2168
2 1084
2 542
271 271
1

Prime factors of 17344 are 2,271. Prime factorization of 17344 in exponential form is:

17344 = 26×2711

∴ So by taking common prime factors GCF of 17336 and 17344 is 8

Greatest Common Factor of 17336 and 17344 by matching factors method

Factors of 17336

List of positive integer factors of 17336 that divides 17336 without a remainder.

1,2,4,8,11,22,44,88,197,394,788,1576,2167,4334,8668,17336

Factors of 17344

List of positive integer factors of 17344 that divides 17344 without a remainder.

1,2,4,8,16,32,64,271,542,1084,2168,4336,8672,17344

Greatest Common Factor

We found the factors and prime factorization of 17336 and 17344. The biggest common factor number is the GCF number.
So the greatest common factor 17336 and 17344 is 8.

Also check out the Least Common Multiple of 17336 and 17344

Properties of GCF 17336 and 17344

(i) The GCF of 17336 and 17344 is associative

GCF of 17336 and 17344 = GCF of 17344 and 17336

Related Greatest Common Factor of 17336

Related Greatest Common Factor of 17344

Frequently Asked Questions on GCF of 17336 and 17344

1. What is the GCF of 17336 and 17344?

Answer: GCF of 17336 and 17344 is 8.

2. What are the Factors of 17336?

Answer: Factors of 17336 are 1, 2, 4, 8, 11, 22, 44, 88, 197, 394, 788, 1576, 2167, 4334, 8668, 17336. There are 16 integers that are factors of 17336. The greatest factor of 17336 is 17336.

3. What are the Factors of 17344?

Answer: Factors of 17344 are 1, 2, 4, 8, 16, 32, 64, 271, 542, 1084, 2168, 4336, 8672, 17344. There are 14 integers that are factors of 17344. The greatest factor of 17344 is 17344.

4. How to Find the GCF of 17336 and 17344?

Answer:

Greatest Common Factor of 17336 and 17344 = 8

Step 1: Find the prime factorization of 17336

17336 = 2 x 2 x 2 x 11 x 197

Step 2: Find the prime factorization of 17344

17344 = 2 x 2 x 2 x 2 x 2 x 2 x 271

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 17336 and 17344 is 8