Greatest Common Factor of 1366 and 1368

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, 1368 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1366 and 1368 is 2.

GCF(1366,1368) = 2

GCF of 1366 and 1368

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

GCF of:
and

Greatest Common Factor of 1366 and 1368

GCF of 1366 and 1368 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 1368


2 1368
2 684
2 342
3 171
3 57
19 19
1

Prime factors of 1368 are 2,3,19. Prime factorization of 1368 in exponential form is:

1368 = 23×32×191

∴ So by taking common prime factors GCF of 1366 and 1368 is 2

Greatest Common Factor of 1366 and 1368 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 1368

List of positive integer factors of 1368 that divides 1368 without a remainder.

1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368

Greatest Common Factor

We found the factors and prime factorization of 1366 and 1368. The biggest common factor number is the GCF number.
So the greatest common factor 1366 and 1368 is 2.

Also check out the Least Common Multiple of 1366 and 1368

Properties of GCF 1366 and 1368

(i) The GCF of 1366 and 1368 is associative

GCF of 1366 and 1368 = GCF of 1368 and 1366

Related Greatest Common Factor of 1366

Related Greatest Common Factor of 1368

Frequently Asked Questions on GCF of 1366 and 1368

1. What is the GCF of 1366 and 1368?

Answer: GCF of 1366 and 1368 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 1368?

Answer: Factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368. There are 24 integers that are factors of 1368. The greatest factor of 1368 is 1368.

4. How to Find the GCF of 1366 and 1368?

Answer:

Greatest Common Factor of 1366 and 1368 = 2

Step 1: Find the prime factorization of 1366

1366 = 2 x 683

Step 2: Find the prime factorization of 1368

1368 = 2 x 2 x 2 x 3 x 3 x 19

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 1368 is 2