Greatest Common Factor of 1339 and 1346

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 1339, 1346 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1339 and 1346 is 1.

GCF(1339,1346) = 1

GCF of 1339 and 1346

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

GCF of:
and

Greatest Common Factor of 1339 and 1346

GCF of 1339 and 1346 is 1

Prime Factorization of 1339


13 1339
103 103
1

Prime factors of 1339 are 13,103. Prime factorization of 1339 in exponential form is:

1339 = 131×1031

Prime Factorization of 1346


2 1346
673 673
1

Prime factors of 1346 are 2,673. Prime factorization of 1346 in exponential form is:

1346 = 21×6731

∴ So by taking common prime factors GCF of 1339 and 1346 is 1

Greatest Common Factor of 1339 and 1346 by matching factors method

Factors of 1339

List of positive integer factors of 1339 that divides 1339 without a remainder.

1,13,103,1339

Factors of 1346

List of positive integer factors of 1346 that divides 1346 without a remainder.

1,2,673,1346

Greatest Common Factor

We found the factors and prime factorization of 1339 and 1346. The biggest common factor number is the GCF number.
So the greatest common factor 1339 and 1346 is 1.

Also check out the Least Common Multiple of 1339 and 1346

Properties of GCF 1339 and 1346

(i) The GCF of 1339 and 1346 is associative

GCF of 1339 and 1346 = GCF of 1346 and 1339

Related Greatest Common Factor of 1339

Related Greatest Common Factor of 1346

Frequently Asked Questions on GCF of 1339 and 1346

1. What is the GCF of 1339 and 1346?

Answer: GCF of 1339 and 1346 is 1.

2. What are the Factors of 1339?

Answer: Factors of 1339 are 1, 13, 103, 1339. There are 4 integers that are factors of 1339. The greatest factor of 1339 is 1339.

3. What are the Factors of 1346?

Answer: Factors of 1346 are 1, 2, 673, 1346. There are 4 integers that are factors of 1346. The greatest factor of 1346 is 1346.

4. How to Find the GCF of 1339 and 1346?

Answer:

Greatest Common Factor of 1339 and 1346 = 1

Step 1: Find the prime factorization of 1339

1339 = 13 x 103

Step 2: Find the prime factorization of 1346

1346 = 2 x 673

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 1339 and 1346 is 1