Greatest Common Factor of 1366 and 1372

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, 1372 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1366 and 1372 is 2.

GCF(1366,1372) = 2

GCF of 1366 and 1372

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

GCF of:
and

Greatest Common Factor of 1366 and 1372

GCF of 1366 and 1372 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 1372


2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 1372 are 2,7. Prime factorization of 1372 in exponential form is:

1372 = 22×73

∴ So by taking common prime factors GCF of 1366 and 1372 is 2

Greatest Common Factor of 1366 and 1372 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 1372

List of positive integer factors of 1372 that divides 1372 without a remainder.

1,2,4,7,14,28,49,98,196,343,686,1372

Greatest Common Factor

We found the factors and prime factorization of 1366 and 1372. The biggest common factor number is the GCF number.
So the greatest common factor 1366 and 1372 is 2.

Also check out the Least Common Multiple of 1366 and 1372

Properties of GCF 1366 and 1372

(i) The GCF of 1366 and 1372 is associative

GCF of 1366 and 1372 = GCF of 1372 and 1366

Related Greatest Common Factor of 1366

Related Greatest Common Factor of 1372

Frequently Asked Questions on GCF of 1366 and 1372

1. What is the GCF of 1366 and 1372?

Answer: GCF of 1366 and 1372 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 1372?

Answer: Factors of 1372 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372. There are 12 integers that are factors of 1372. The greatest factor of 1372 is 1372.

4. How to Find the GCF of 1366 and 1372?

Answer:

Greatest Common Factor of 1366 and 1372 = 2

Step 1: Find the prime factorization of 1366

1366 = 2 x 683

Step 2: Find the prime factorization of 1372

1372 = 2 x 2 x 7 x 7 x 7

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 1372 is 2