Greatest Common Factor of 1344 and 1348

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 1344, 1348 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1344 and 1348 is 4.

GCF(1344,1348) = 4

GCF of 1344 and 1348

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

GCF of:
and

Greatest Common Factor of 1344 and 1348

GCF of 1344 and 1348 is 4

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

Prime Factorization of 1348


2 1348
2 674
337 337
1

Prime factors of 1348 are 2,337. Prime factorization of 1348 in exponential form is:

1348 = 22×3371

∴ So by taking common prime factors GCF of 1344 and 1348 is 4

Greatest Common Factor of 1344 and 1348 by matching factors method

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

Factors of 1348

List of positive integer factors of 1348 that divides 1348 without a remainder.

1,2,4,337,674,1348

Greatest Common Factor

We found the factors and prime factorization of 1344 and 1348. The biggest common factor number is the GCF number.
So the greatest common factor 1344 and 1348 is 4.

Also check out the Least Common Multiple of 1344 and 1348

Properties of GCF 1344 and 1348

(i) The GCF of 1344 and 1348 is associative

GCF of 1344 and 1348 = GCF of 1348 and 1344

Related Greatest Common Factor of 1344

Related Greatest Common Factor of 1348

Frequently Asked Questions on GCF of 1344 and 1348

1. What is the GCF of 1344 and 1348?

Answer: GCF of 1344 and 1348 is 4.

2. 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.

3. What are the Factors of 1348?

Answer: Factors of 1348 are 1, 2, 4, 337, 674, 1348. There are 6 integers that are factors of 1348. The greatest factor of 1348 is 1348.

4. How to Find the GCF of 1344 and 1348?

Answer:

Greatest Common Factor of 1344 and 1348 = 4

Step 1: Find the prime factorization of 1344

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

Step 2: Find the prime factorization of 1348

1348 = 2 x 2 x 337

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1344 and 1348 is 4