Greatest Common Factor of 1344 and 1352

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, 1352 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1344 and 1352 is 8.

GCF(1344,1352) = 8

GCF of 1344 and 1352

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

GCF of:
and

Greatest Common Factor of 1344 and 1352

GCF of 1344 and 1352 is 8

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 1352


2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 1352 are 2,13. Prime factorization of 1352 in exponential form is:

1352 = 23×132

∴ So by taking common prime factors GCF of 1344 and 1352 is 8

Greatest Common Factor of 1344 and 1352 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 1352

List of positive integer factors of 1352 that divides 1352 without a remainder.

1,2,4,8,13,26,52,104,169,338,676,1352

Greatest Common Factor

We found the factors and prime factorization of 1344 and 1352. The biggest common factor number is the GCF number.
So the greatest common factor 1344 and 1352 is 8.

Also check out the Least Common Multiple of 1344 and 1352

Properties of GCF 1344 and 1352

(i) The GCF of 1344 and 1352 is associative

GCF of 1344 and 1352 = GCF of 1352 and 1344

Related Greatest Common Factor of 1344

Related Greatest Common Factor of 1352

Frequently Asked Questions on GCF of 1344 and 1352

1. What is the GCF of 1344 and 1352?

Answer: GCF of 1344 and 1352 is 8.

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 1352?

Answer: Factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352. There are 12 integers that are factors of 1352. The greatest factor of 1352 is 1352.

4. How to Find the GCF of 1344 and 1352?

Answer:

Greatest Common Factor of 1344 and 1352 = 8

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 1352

1352 = 2 x 2 x 2 x 13 x 13

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1344 and 1352 is 8