Greatest Common Factor of 17344 and 17352

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 17344, 17352 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17344 and 17352 is 8.

GCF(17344,17352) = 8

GCF of 17344 and 17352

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

GCF of:
and

Greatest Common Factor of 17344 and 17352

GCF of 17344 and 17352 is 8

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

Prime Factorization of 17352


2 17352
2 8676
2 4338
3 2169
3 723
241 241
1

Prime factors of 17352 are 2,3,241. Prime factorization of 17352 in exponential form is:

17352 = 23×32×2411

∴ So by taking common prime factors GCF of 17344 and 17352 is 8

Greatest Common Factor of 17344 and 17352 by matching factors method

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

Factors of 17352

List of positive integer factors of 17352 that divides 17352 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,241,482,723,964,1446,1928,2169,2892,4338,5784,8676,17352

Greatest Common Factor

We found the factors and prime factorization of 17344 and 17352. The biggest common factor number is the GCF number.
So the greatest common factor 17344 and 17352 is 8.

Also check out the Least Common Multiple of 17344 and 17352

Properties of GCF 17344 and 17352

(i) The GCF of 17344 and 17352 is associative

GCF of 17344 and 17352 = GCF of 17352 and 17344

Related Greatest Common Factor of 17344

Related Greatest Common Factor of 17352

Frequently Asked Questions on GCF of 17344 and 17352

1. What is the GCF of 17344 and 17352?

Answer: GCF of 17344 and 17352 is 8.

2. 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.

3. What are the Factors of 17352?

Answer: Factors of 17352 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 241, 482, 723, 964, 1446, 1928, 2169, 2892, 4338, 5784, 8676, 17352. There are 24 integers that are factors of 17352. The greatest factor of 17352 is 17352.

4. How to Find the GCF of 17344 and 17352?

Answer:

Greatest Common Factor of 17344 and 17352 = 8

Step 1: Find the prime factorization of 17344

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

Step 2: Find the prime factorization of 17352

17352 = 2 x 2 x 2 x 3 x 3 x 241

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 17344 and 17352 is 8