Greatest Common Factor of 1337 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 1337, 1344 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1337 and 1344 is 7.

GCF(1337,1344) = 7

GCF of 1337 and 1344

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

GCF of:
and

Greatest Common Factor of 1337 and 1344

GCF of 1337 and 1344 is 7

Prime Factorization of 1337


7 1337
191 191
1

Prime factors of 1337 are 7,191. Prime factorization of 1337 in exponential form is:

1337 = 71×1911

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 1337 and 1344 is 7

Greatest Common Factor of 1337 and 1344 by matching factors method

Factors of 1337

List of positive integer factors of 1337 that divides 1337 without a remainder.

1,7,191,1337

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 1337 and 1344. The biggest common factor number is the GCF number.
So the greatest common factor 1337 and 1344 is 7.

Also check out the Least Common Multiple of 1337 and 1344

Properties of GCF 1337 and 1344

(i) The GCF of 1337 and 1344 is associative

GCF of 1337 and 1344 = GCF of 1344 and 1337

Related Greatest Common Factor of 1337

Related Greatest Common Factor of 1344

Frequently Asked Questions on GCF of 1337 and 1344

1. What is the GCF of 1337 and 1344?

Answer: GCF of 1337 and 1344 is 7.

2. What are the Factors of 1337?

Answer: Factors of 1337 are 1, 7, 191, 1337. There are 4 integers that are factors of 1337. The greatest factor of 1337 is 1337.

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 1337 and 1344?

Answer:

Greatest Common Factor of 1337 and 1344 = 7

Step 1: Find the prime factorization of 1337

1337 = 7 x 191

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 = 7

Step 4: Therefore, the greatest common factor of 1337 and 1344 is 7