Greatest Common Factor of 1340 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 1340, 1346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1340 and 1346 is 2.

GCF(1340,1346) = 2

GCF of 1340 and 1346

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

GCF of:
and

Greatest Common Factor of 1340 and 1346

GCF of 1340 and 1346 is 2

Prime Factorization of 1340


2 1340
2 670
5 335
67 67
1

Prime factors of 1340 are 2,5,67. Prime factorization of 1340 in exponential form is:

1340 = 22×51×671

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 1340 and 1346 is 2

Greatest Common Factor of 1340 and 1346 by matching factors method

Factors of 1340

List of positive integer factors of 1340 that divides 1340 without a remainder.

1,2,4,5,10,20,67,134,268,335,670,1340

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 1340 and 1346. The biggest common factor number is the GCF number.
So the greatest common factor 1340 and 1346 is 2.

Also check out the Least Common Multiple of 1340 and 1346

Properties of GCF 1340 and 1346

(i) The GCF of 1340 and 1346 is associative

GCF of 1340 and 1346 = GCF of 1346 and 1340

Related Greatest Common Factor of 1340

Related Greatest Common Factor of 1346

Frequently Asked Questions on GCF of 1340 and 1346

1. What is the GCF of 1340 and 1346?

Answer: GCF of 1340 and 1346 is 2.

2. What are the Factors of 1340?

Answer: Factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340. There are 12 integers that are factors of 1340. The greatest factor of 1340 is 1340.

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 1340 and 1346?

Answer:

Greatest Common Factor of 1340 and 1346 = 2

Step 1: Find the prime factorization of 1340

1340 = 2 x 2 x 5 x 67

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 = 2

Step 4: Therefore, the greatest common factor of 1340 and 1346 is 2