Greatest Common Factor of 1349 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 1349, 1353 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1349 and 1353 is 1.

GCF(1349,1353) = 1

GCF of 1349 and 1353

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

GCF of:
and

Greatest Common Factor of 1349 and 1353

GCF of 1349 and 1353 is 1

Prime Factorization of 1349


19 1349
71 71
1

Prime factors of 1349 are 19,71. Prime factorization of 1349 in exponential form is:

1349 = 191×711

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 1349 and 1353 is 1

Greatest Common Factor of 1349 and 1353 by matching factors method

Factors of 1349

List of positive integer factors of 1349 that divides 1349 without a remainder.

1,19,71,1349

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 1349 and 1353. The biggest common factor number is the GCF number.
So the greatest common factor 1349 and 1353 is 1.

Also check out the Least Common Multiple of 1349 and 1353

Properties of GCF 1349 and 1353

(i) The GCF of 1349 and 1353 is associative

GCF of 1349 and 1353 = GCF of 1353 and 1349

Related Greatest Common Factor of 1349

Related Greatest Common Factor of 1353

Frequently Asked Questions on GCF of 1349 and 1353

1. What is the GCF of 1349 and 1353?

Answer: GCF of 1349 and 1353 is 1.

2. What are the Factors of 1349?

Answer: Factors of 1349 are 1, 19, 71, 1349. There are 4 integers that are factors of 1349. The greatest factor of 1349 is 1349.

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 1349 and 1353?

Answer:

Greatest Common Factor of 1349 and 1353 = 1

Step 1: Find the prime factorization of 1349

1349 = 19 x 71

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 = = 1

Step 4: Therefore, the greatest common factor of 1349 and 1353 is 1