Greatest Common Factor of 1353 and 1355

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 1353, 1355 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1353 and 1355 is 1.

GCF(1353,1355) = 1

GCF of 1353 and 1355

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

GCF of:
and

Greatest Common Factor of 1353 and 1355

GCF of 1353 and 1355 is 1

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

Prime Factorization of 1355


5 1355
271 271
1

Prime factors of 1355 are 5,271. Prime factorization of 1355 in exponential form is:

1355 = 51×2711

∴ So by taking common prime factors GCF of 1353 and 1355 is 1

Greatest Common Factor of 1353 and 1355 by matching factors method

Factors of 1353

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

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

Factors of 1355

List of positive integer factors of 1355 that divides 1355 without a remainder.

1,5,271,1355

Greatest Common Factor

We found the factors and prime factorization of 1353 and 1355. The biggest common factor number is the GCF number.
So the greatest common factor 1353 and 1355 is 1.

Also check out the Least Common Multiple of 1353 and 1355

Properties of GCF 1353 and 1355

(i) The GCF of 1353 and 1355 is associative

GCF of 1353 and 1355 = GCF of 1355 and 1353

Related Greatest Common Factor of 1353

Related Greatest Common Factor of 1355

Frequently Asked Questions on GCF of 1353 and 1355

1. What is the GCF of 1353 and 1355?

Answer: GCF of 1353 and 1355 is 1.

2. 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.

3. What are the Factors of 1355?

Answer: Factors of 1355 are 1, 5, 271, 1355. There are 4 integers that are factors of 1355. The greatest factor of 1355 is 1355.

4. How to Find the GCF of 1353 and 1355?

Answer:

Greatest Common Factor of 1353 and 1355 = 1

Step 1: Find the prime factorization of 1353

1353 = 3 x 11 x 41

Step 2: Find the prime factorization of 1355

1355 = 5 x 271

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 1353 and 1355 is 1