Greatest Common Factor of 3344 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 3344, 3350 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3344 and 3350 is 2.

GCF(3344,3350) = 2

GCF of 3344 and 3350

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

GCF of:
and

Greatest Common Factor of 3344 and 3350

GCF of 3344 and 3350 is 2

Prime Factorization of 3344


2 3344
2 1672
2 836
2 418
11 209
19 19
1

Prime factors of 3344 are 2,11,19. Prime factorization of 3344 in exponential form is:

3344 = 24×111×191

Prime Factorization of 3350


2 3350
5 1675
5 335
67 67
1

Prime factors of 3350 are 2,5,67. Prime factorization of 3350 in exponential form is:

3350 = 21×52×671

∴ So by taking common prime factors GCF of 3344 and 3350 is 2

Greatest Common Factor of 3344 and 3350 by matching factors method

Factors of 3344

List of positive integer factors of 3344 that divides 3344 without a remainder.

1,2,4,8,11,16,19,22,38,44,76,88,152,176,209,304,418,836,1672,3344

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 3344 and 3350. The biggest common factor number is the GCF number.
So the greatest common factor 3344 and 3350 is 2.

Also check out the Least Common Multiple of 3344 and 3350

Properties of GCF 3344 and 3350

(i) The GCF of 3344 and 3350 is associative

GCF of 3344 and 3350 = GCF of 3350 and 3344

Related Greatest Common Factor of 3344

Related Greatest Common Factor of 3350

Frequently Asked Questions on GCF of 3344 and 3350

1. What is the GCF of 3344 and 3350?

Answer: GCF of 3344 and 3350 is 2.

2. What are the Factors of 3344?

Answer: Factors of 3344 are 1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304, 418, 836, 1672, 3344. There are 20 integers that are factors of 3344. The greatest factor of 3344 is 3344.

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 3344 and 3350?

Answer:

Greatest Common Factor of 3344 and 3350 = 2

Step 1: Find the prime factorization of 3344

3344 = 2 x 2 x 2 x 2 x 11 x 19

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 = 2

Step 4: Therefore, the greatest common factor of 3344 and 3350 is 2