Greatest Common Factor of 344 and 352

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 344, 352 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 344 and 352 is 8.

GCF(344,352) = 8

GCF of 344 and 352

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

GCF of:
and

Greatest Common Factor of 344 and 352

GCF of 344 and 352 is 8

Prime Factorization of 344


2 344
2 172
2 86
43 43
1

Prime factors of 344 are 2,43. Prime factorization of 344 in exponential form is:

344 = 23×431

Prime Factorization of 352


2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 352 are 2,11. Prime factorization of 352 in exponential form is:

352 = 25×111

∴ So by taking common prime factors GCF of 344 and 352 is 8

Greatest Common Factor of 344 and 352 by matching factors method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors and prime factorization of 344 and 352. The biggest common factor number is the GCF number.
So the greatest common factor 344 and 352 is 8.

Also check out the Least Common Multiple of 344 and 352

Properties of GCF 344 and 352

(i) The GCF of 344 and 352 is associative

GCF of 344 and 352 = GCF of 352 and 344

Related Greatest Common Factor of 344

Related Greatest Common Factor of 352

Frequently Asked Questions on GCF of 344 and 352

1. What is the GCF of 344 and 352?

Answer: GCF of 344 and 352 is 8.

2. What are the Factors of 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

3. What are the Factors of 352?

Answer: Factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352. There are 12 integers that are factors of 352. The greatest factor of 352 is 352.

4. How to Find the GCF of 344 and 352?

Answer:

Greatest Common Factor of 344 and 352 = 8

Step 1: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

Step 2: Find the prime factorization of 352

352 = 2 x 2 x 2 x 2 x 2 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 344 and 352 is 8