Greatest Common Factor of 3343 and 3350

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 3343, 3350 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3343 and 3350 is 1.

GCF(3343,3350) = 1

GCF of 3343 and 3350

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

GCF of:
and

Greatest Common Factor of 3343 and 3350

GCF of 3343 and 3350 is 1

Prime Factorization of 3343


3343 3343
1

Prime factors of 3343 are 3343. Prime factorization of 3343 in exponential form is:

3343 = 33431

Prime Factorization of 3350


2 3350
5 1675
5 335
67 67
1

Prime factors of 3350 are 2.Prime factorization of 3350 in exponential form is:

3350 = 21×52×671

∴ So by taking common prime factors GCF of 3343 and 3350 is 1

Greatest Common Factor of 3343 and 3350 by matching factors method

Factors of 3343

List of positive integer factors of 3343 that divides 3343 without a remainder.

1,3343

Factors of 3350

List of positive integer factors of 3350 that divides 3350 without a remainder.

1,2,5,10,25,50,67,134,335,670,1675,3350

Greatest Common Factor

We found the factors and prime factorization of 3343 and 3350. The biggest common factor number is the GCF number.
So the greatest common factor 3343 and 3350 is 1.

Also check out the Least Common Multiple of 3343 and 3350

Properties of GCF 3343 and 3350

(i) The GCF of 3343 and 3350 is associative

GCF of 3343 and 3350 = GCF of 3350 and 3343

Frequently Asked Questions on GCF of 3343 and 3350

1. What is the GCF of 3343 and 3350?

Answer: GCF of 3343 and 3350 is 1.

2. What are the Factors of 3343?

Answer: Factors of 3343 are 1, 3343. There are 2 integers that are factors of 3343. The greatest factor of 3343 is 3343.

3. What are the Factors of 3350?

Answer: Factors of 3350 are 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350. There are 12 integers that are factors of 3350. The greatest factor of 3350 is 3350.

4. How to Find the GCF of 3343 and 3350?

Answer:

Greatest Common Factor of 3343 and 3350 = 1

Step 1: Find the prime factorization of 3343

3343 = 3343

Step 2: Find the prime factorization of 3350

3350 = 2 x 5 x 5 x 67

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3343 and 3350 is 1