Greatest Common Factor of 1345 and 1349

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 1345, 1349 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1345 and 1349 is 1.

GCF(1345,1349) = 1

GCF of 1345 and 1349

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

GCF of:
and

Greatest Common Factor of 1345 and 1349

GCF of 1345 and 1349 is 1

Prime Factorization of 1345


5 1345
269 269
1

Prime factors of 1345 are 5,269. Prime factorization of 1345 in exponential form is:

1345 = 51×2691

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

∴ So by taking common prime factors GCF of 1345 and 1349 is 1

Greatest Common Factor of 1345 and 1349 by matching factors method

Factors of 1345

List of positive integer factors of 1345 that divides 1345 without a remainder.

1,5,269,1345

Factors of 1349

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

1,19,71,1349

Greatest Common Factor

We found the factors and prime factorization of 1345 and 1349. The biggest common factor number is the GCF number.
So the greatest common factor 1345 and 1349 is 1.

Also check out the Least Common Multiple of 1345 and 1349

Properties of GCF 1345 and 1349

(i) The GCF of 1345 and 1349 is associative

GCF of 1345 and 1349 = GCF of 1349 and 1345

Related Greatest Common Factor of 1345

Related Greatest Common Factor of 1349

Frequently Asked Questions on GCF of 1345 and 1349

1. What is the GCF of 1345 and 1349?

Answer: GCF of 1345 and 1349 is 1.

2. What are the Factors of 1345?

Answer: Factors of 1345 are 1, 5, 269, 1345. There are 4 integers that are factors of 1345. The greatest factor of 1345 is 1345.

3. 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.

4. How to Find the GCF of 1345 and 1349?

Answer:

Greatest Common Factor of 1345 and 1349 = 1

Step 1: Find the prime factorization of 1345

1345 = 5 x 269

Step 2: Find the prime factorization of 1349

1349 = 19 x 71

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 1345 and 1349 is 1