Greatest Common Factor of 1341 and 1344

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 1341, 1344 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1341 and 1344 is 3.

GCF(1341,1344) = 3

GCF of 1341 and 1344

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

GCF of:
and

Greatest Common Factor of 1341 and 1344

GCF of 1341 and 1344 is 3

Prime Factorization of 1341


3 1341
3 447
149 149
1

Prime factors of 1341 are 3,149. Prime factorization of 1341 in exponential form is:

1341 = 32×1491

Prime Factorization of 1344


2 1344
2 672
2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 1344 are 2,3,7. Prime factorization of 1344 in exponential form is:

1344 = 26×31×71

∴ So by taking common prime factors GCF of 1341 and 1344 is 3

Greatest Common Factor of 1341 and 1344 by matching factors method

Factors of 1341

List of positive integer factors of 1341 that divides 1341 without a remainder.

1,3,9,149,447,1341

Factors of 1344

List of positive integer factors of 1344 that divides 1344 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,168,192,224,336,448,672,1344

Greatest Common Factor

We found the factors and prime factorization of 1341 and 1344. The biggest common factor number is the GCF number.
So the greatest common factor 1341 and 1344 is 3.

Also check out the Least Common Multiple of 1341 and 1344

Properties of GCF 1341 and 1344

(i) The GCF of 1341 and 1344 is associative

GCF of 1341 and 1344 = GCF of 1344 and 1341

Related Greatest Common Factor of 1341

Related Greatest Common Factor of 1344

Frequently Asked Questions on GCF of 1341 and 1344

1. What is the GCF of 1341 and 1344?

Answer: GCF of 1341 and 1344 is 3.

2. What are the Factors of 1341?

Answer: Factors of 1341 are 1, 3, 9, 149, 447, 1341. There are 6 integers that are factors of 1341. The greatest factor of 1341 is 1341.

3. What are the Factors of 1344?

Answer: Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344. There are 28 integers that are factors of 1344. The greatest factor of 1344 is 1344.

4. How to Find the GCF of 1341 and 1344?

Answer:

Greatest Common Factor of 1341 and 1344 = 3

Step 1: Find the prime factorization of 1341

1341 = 3 x 3 x 149

Step 2: Find the prime factorization of 1344

1344 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 1341 and 1344 is 3