Greatest Common Factor of 343 and 350

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 343, 350 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 343 and 350 is 7.

GCF(343,350) = 7

GCF of 343 and 350

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

GCF of:
and

Greatest Common Factor of 343 and 350

GCF of 343 and 350 is 7

Prime Factorization of 343


7 343
7 49
7 7
1

Prime factors of 343 are 7. Prime factorization of 343 in exponential form is:

343 = 73

Prime Factorization of 350


2 350
5 175
5 35
7 7
1

Prime factors of 350 are 2.Prime factorization of 350 in exponential form is:

350 = 21×52×71

∴ So by taking common prime factors GCF of 343 and 350 is 7

Greatest Common Factor of 343 and 350 by matching factors method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors and prime factorization of 343 and 350. The biggest common factor number is the GCF number.
So the greatest common factor 343 and 350 is 7.

Also check out the Least Common Multiple of 343 and 350

Properties of GCF 343 and 350

(i) The GCF of 343 and 350 is associative

GCF of 343 and 350 = GCF of 350 and 343

Related Greatest Common Factor of 343

Related Greatest Common Factor of 350

Frequently Asked Questions on GCF of 343 and 350

1. What is the GCF of 343 and 350?

Answer: GCF of 343 and 350 is 7.

2. What are the Factors of 343?

Answer: Factors of 343 are 1, 7, 49, 343. There are 4 integers that are factors of 343. The greatest factor of 343 is 343.

3. What are the Factors of 350?

Answer: Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. There are 12 integers that are factors of 350. The greatest factor of 350 is 350.

4. How to Find the GCF of 343 and 350?

Answer:

Greatest Common Factor of 343 and 350 = 7

Step 1: Find the prime factorization of 343

343 = 7 x 7 x 7

Step 2: Find the prime factorization of 350

350 = 2 x 5 x 5 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 343 and 350 is 7