Greatest Common Factor of 1346 and 1351

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 1346, 1351 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1346 and 1351 is 1.

GCF(1346,1351) = 1

GCF of 1346 and 1351

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

GCF of:
and

Greatest Common Factor of 1346 and 1351

GCF of 1346 and 1351 is 1

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

Prime Factorization of 1351


7 1351
193 193
1

Prime factors of 1351 are 7,193. Prime factorization of 1351 in exponential form is:

1351 = 71×1931

∴ So by taking common prime factors GCF of 1346 and 1351 is 1

Greatest Common Factor of 1346 and 1351 by matching factors method

Factors of 1346

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

1,2,673,1346

Factors of 1351

List of positive integer factors of 1351 that divides 1351 without a remainder.

1,7,193,1351

Greatest Common Factor

We found the factors and prime factorization of 1346 and 1351. The biggest common factor number is the GCF number.
So the greatest common factor 1346 and 1351 is 1.

Also check out the Least Common Multiple of 1346 and 1351

Properties of GCF 1346 and 1351

(i) The GCF of 1346 and 1351 is associative

GCF of 1346 and 1351 = GCF of 1351 and 1346

Related Greatest Common Factor of 1346

Related Greatest Common Factor of 1351

Frequently Asked Questions on GCF of 1346 and 1351

1. What is the GCF of 1346 and 1351?

Answer: GCF of 1346 and 1351 is 1.

2. 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.

3. What are the Factors of 1351?

Answer: Factors of 1351 are 1, 7, 193, 1351. There are 4 integers that are factors of 1351. The greatest factor of 1351 is 1351.

4. How to Find the GCF of 1346 and 1351?

Answer:

Greatest Common Factor of 1346 and 1351 = 1

Step 1: Find the prime factorization of 1346

1346 = 2 x 673

Step 2: Find the prime factorization of 1351

1351 = 7 x 193

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 1346 and 1351 is 1