Greatest Common Factor of 1386 and 1394

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 1386, 1394 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1386 and 1394 is 2.

GCF(1386,1394) = 2

GCF of 1386 and 1394

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

GCF of:
and

Greatest Common Factor of 1386 and 1394

GCF of 1386 and 1394 is 2

Prime Factorization of 1386


2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 1386 are 2,3,7,11. Prime factorization of 1386 in exponential form is:

1386 = 21×32×71×111

Prime Factorization of 1394


2 1394
17 697
41 41
1

Prime factors of 1394 are 2,17,41. Prime factorization of 1394 in exponential form is:

1394 = 21×171×411

∴ So by taking common prime factors GCF of 1386 and 1394 is 2

Greatest Common Factor of 1386 and 1394 by matching factors method

Factors of 1386

List of positive integer factors of 1386 that divides 1386 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386

Factors of 1394

List of positive integer factors of 1394 that divides 1394 without a remainder.

1,2,17,34,41,82,697,1394

Greatest Common Factor

We found the factors and prime factorization of 1386 and 1394. The biggest common factor number is the GCF number.
So the greatest common factor 1386 and 1394 is 2.

Also check out the Least Common Multiple of 1386 and 1394

Properties of GCF 1386 and 1394

(i) The GCF of 1386 and 1394 is associative

GCF of 1386 and 1394 = GCF of 1394 and 1386

Related Greatest Common Factor of 1386

Related Greatest Common Factor of 1394

Frequently Asked Questions on GCF of 1386 and 1394

1. What is the GCF of 1386 and 1394?

Answer: GCF of 1386 and 1394 is 2.

2. What are the Factors of 1386?

Answer: Factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386. There are 24 integers that are factors of 1386. The greatest factor of 1386 is 1386.

3. What are the Factors of 1394?

Answer: Factors of 1394 are 1, 2, 17, 34, 41, 82, 697, 1394. There are 8 integers that are factors of 1394. The greatest factor of 1394 is 1394.

4. How to Find the GCF of 1386 and 1394?

Answer:

Greatest Common Factor of 1386 and 1394 = 2

Step 1: Find the prime factorization of 1386

1386 = 2 x 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 1394

1394 = 2 x 17 x 41

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 1386 and 1394 is 2