Greatest Common Factor of 3447 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 3447, 3450 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3447 and 3450 is 3.

GCF(3447,3450) = 3

GCF of 3447 and 3450

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

GCF of:
and

Greatest Common Factor of 3447 and 3450

GCF of 3447 and 3450 is 3

Prime Factorization of 3447


3 3447
3 1149
383 383
1

Prime factors of 3447 are 3,383. Prime factorization of 3447 in exponential form is:

3447 = 32×3831

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 3447 and 3450 is 3

Greatest Common Factor of 3447 and 3450 by matching factors method

Factors of 3447

List of positive integer factors of 3447 that divides 3447 without a remainder.

1,3,9,383,1149,3447

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 3447 and 3450. The biggest common factor number is the GCF number.
So the greatest common factor 3447 and 3450 is 3.

Also check out the Least Common Multiple of 3447 and 3450

Properties of GCF 3447 and 3450

(i) The GCF of 3447 and 3450 is associative

GCF of 3447 and 3450 = GCF of 3450 and 3447

Related Greatest Common Factor of 3447

Related Greatest Common Factor of 3450

Frequently Asked Questions on GCF of 3447 and 3450

1. What is the GCF of 3447 and 3450?

Answer: GCF of 3447 and 3450 is 3.

2. What are the Factors of 3447?

Answer: Factors of 3447 are 1, 3, 9, 383, 1149, 3447. There are 6 integers that are factors of 3447. The greatest factor of 3447 is 3447.

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 3447 and 3450?

Answer:

Greatest Common Factor of 3447 and 3450 = 3

Step 1: Find the prime factorization of 3447

3447 = 3 x 3 x 383

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 = 3

Step 4: Therefore, the greatest common factor of 3447 and 3450 is 3