Greatest Common Factor of 3443 and 3450

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 3443, 3450 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3443 and 3450 is 1.

GCF(3443,3450) = 1

GCF of 3443 and 3450

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

GCF of:
and

Greatest Common Factor of 3443 and 3450

GCF of 3443 and 3450 is 1

Prime Factorization of 3443


11 3443
313 313
1

Prime factors of 3443 are 11,313. Prime factorization of 3443 in exponential form is:

3443 = 111×3131

Prime Factorization of 3450


2 3450
3 1725
5 575
5 115
23 23
1

Prime factors of 3450 are 2,3,5,23. Prime factorization of 3450 in exponential form is:

3450 = 21×31×52×231

∴ So by taking common prime factors GCF of 3443 and 3450 is 1

Greatest Common Factor of 3443 and 3450 by matching factors method

Factors of 3443

List of positive integer factors of 3443 that divides 3443 without a remainder.

1,11,313,3443

Factors of 3450

List of positive integer factors of 3450 that divides 3450 without a remainder.

1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450

Greatest Common Factor

We found the factors and prime factorization of 3443 and 3450. The biggest common factor number is the GCF number.
So the greatest common factor 3443 and 3450 is 1.

Also check out the Least Common Multiple of 3443 and 3450

Properties of GCF 3443 and 3450

(i) The GCF of 3443 and 3450 is associative

GCF of 3443 and 3450 = GCF of 3450 and 3443

Frequently Asked Questions on GCF of 3443 and 3450

1. What is the GCF of 3443 and 3450?

Answer: GCF of 3443 and 3450 is 1.

2. What are the Factors of 3443?

Answer: Factors of 3443 are 1, 11, 313, 3443. There are 4 integers that are factors of 3443. The greatest factor of 3443 is 3443.

3. What are the Factors of 3450?

Answer: Factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450. There are 24 integers that are factors of 3450. The greatest factor of 3450 is 3450.

4. How to Find the GCF of 3443 and 3450?

Answer:

Greatest Common Factor of 3443 and 3450 = 1

Step 1: Find the prime factorization of 3443

3443 = 11 x 313

Step 2: Find the prime factorization of 3450

3450 = 2 x 3 x 5 x 5 x 23

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 3443 and 3450 is 1