Greatest Common Factor of 1350 and 1353

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 1350, 1353 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1350 and 1353 is 3.

GCF(1350,1353) = 3

GCF of 1350 and 1353

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

GCF of:
and

Greatest Common Factor of 1350 and 1353

GCF of 1350 and 1353 is 3

Prime Factorization of 1350


2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 1350 are 2,3,5. Prime factorization of 1350 in exponential form is:

1350 = 21×33×52

Prime Factorization of 1353


3 1353
11 451
41 41
1

Prime factors of 1353 are 3,11,41. Prime factorization of 1353 in exponential form is:

1353 = 31×111×411

∴ So by taking common prime factors GCF of 1350 and 1353 is 3

Greatest Common Factor of 1350 and 1353 by matching factors method

Factors of 1350

List of positive integer factors of 1350 that divides 1350 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350

Factors of 1353

List of positive integer factors of 1353 that divides 1353 without a remainder.

1,3,11,33,41,123,451,1353

Greatest Common Factor

We found the factors and prime factorization of 1350 and 1353. The biggest common factor number is the GCF number.
So the greatest common factor 1350 and 1353 is 3.

Also check out the Least Common Multiple of 1350 and 1353

Properties of GCF 1350 and 1353

(i) The GCF of 1350 and 1353 is associative

GCF of 1350 and 1353 = GCF of 1353 and 1350

Related Greatest Common Factor of 1350

Related Greatest Common Factor of 1353

Frequently Asked Questions on GCF of 1350 and 1353

1. What is the GCF of 1350 and 1353?

Answer: GCF of 1350 and 1353 is 3.

2. What are the Factors of 1350?

Answer: Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. There are 24 integers that are factors of 1350. The greatest factor of 1350 is 1350.

3. What are the Factors of 1353?

Answer: Factors of 1353 are 1, 3, 11, 33, 41, 123, 451, 1353. There are 8 integers that are factors of 1353. The greatest factor of 1353 is 1353.

4. How to Find the GCF of 1350 and 1353?

Answer:

Greatest Common Factor of 1350 and 1353 = 3

Step 1: Find the prime factorization of 1350

1350 = 2 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 1353

1353 = 3 x 11 x 41

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 1350 and 1353 is 3