Greatest Common Factor of 1366 and 1374

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 1366, 1374 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1366 and 1374 is 2.

GCF(1366,1374) = 2

GCF of 1366 and 1374

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

GCF of:
and

Greatest Common Factor of 1366 and 1374

GCF of 1366 and 1374 is 2

Prime Factorization of 1366


2 1366
683 683
1

Prime factors of 1366 are 2,683. Prime factorization of 1366 in exponential form is:

1366 = 21×6831

Prime Factorization of 1374


2 1374
3 687
229 229
1

Prime factors of 1374 are 2,3,229. Prime factorization of 1374 in exponential form is:

1374 = 21×31×2291

∴ So by taking common prime factors GCF of 1366 and 1374 is 2

Greatest Common Factor of 1366 and 1374 by matching factors method

Factors of 1366

List of positive integer factors of 1366 that divides 1366 without a remainder.

1,2,683,1366

Factors of 1374

List of positive integer factors of 1374 that divides 1374 without a remainder.

1,2,3,6,229,458,687,1374

Greatest Common Factor

We found the factors and prime factorization of 1366 and 1374. The biggest common factor number is the GCF number.
So the greatest common factor 1366 and 1374 is 2.

Also check out the Least Common Multiple of 1366 and 1374

Properties of GCF 1366 and 1374

(i) The GCF of 1366 and 1374 is associative

GCF of 1366 and 1374 = GCF of 1374 and 1366

Related Greatest Common Factor of 1366

Related Greatest Common Factor of 1374

Frequently Asked Questions on GCF of 1366 and 1374

1. What is the GCF of 1366 and 1374?

Answer: GCF of 1366 and 1374 is 2.

2. What are the Factors of 1366?

Answer: Factors of 1366 are 1, 2, 683, 1366. There are 4 integers that are factors of 1366. The greatest factor of 1366 is 1366.

3. What are the Factors of 1374?

Answer: Factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374. There are 8 integers that are factors of 1374. The greatest factor of 1374 is 1374.

4. How to Find the GCF of 1366 and 1374?

Answer:

Greatest Common Factor of 1366 and 1374 = 2

Step 1: Find the prime factorization of 1366

1366 = 2 x 683

Step 2: Find the prime factorization of 1374

1374 = 2 x 3 x 229

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 1366 and 1374 is 2