Greatest Common Factor of 3447 and 3453

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, 3453 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3447 and 3453 is 3.

GCF(3447,3453) = 3

GCF of 3447 and 3453

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

GCF of:
and

Greatest Common Factor of 3447 and 3453

GCF of 3447 and 3453 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 3453


3 3453
1151 1151
1

Prime factors of 3453 are 3,1151. Prime factorization of 3453 in exponential form is:

3453 = 31×11511

∴ So by taking common prime factors GCF of 3447 and 3453 is 3

Greatest Common Factor of 3447 and 3453 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 3453

List of positive integer factors of 3453 that divides 3453 without a remainder.

1,3,1151,3453

Greatest Common Factor

We found the factors and prime factorization of 3447 and 3453. The biggest common factor number is the GCF number.
So the greatest common factor 3447 and 3453 is 3.

Also check out the Least Common Multiple of 3447 and 3453

Properties of GCF 3447 and 3453

(i) The GCF of 3447 and 3453 is associative

GCF of 3447 and 3453 = GCF of 3453 and 3447

Related Greatest Common Factor of 3447

Related Greatest Common Factor of 3453

Frequently Asked Questions on GCF of 3447 and 3453

1. What is the GCF of 3447 and 3453?

Answer: GCF of 3447 and 3453 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 3453?

Answer: Factors of 3453 are 1, 3, 1151, 3453. There are 4 integers that are factors of 3453. The greatest factor of 3453 is 3453.

4. How to Find the GCF of 3447 and 3453?

Answer:

Greatest Common Factor of 3447 and 3453 = 3

Step 1: Find the prime factorization of 3447

3447 = 3 x 3 x 383

Step 2: Find the prime factorization of 3453

3453 = 3 x 1151

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 3453 is 3