Greatest Common Factor of 8344 and 8352

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 8344, 8352 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8344 and 8352 is 8.

GCF(8344,8352) = 8

GCF of 8344 and 8352

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

GCF of:
and

Greatest Common Factor of 8344 and 8352

GCF of 8344 and 8352 is 8

Prime Factorization of 8344


2 8344
2 4172
2 2086
7 1043
149 149
1

Prime factors of 8344 are 2,7,149. Prime factorization of 8344 in exponential form is:

8344 = 23×71×1491

Prime Factorization of 8352


2 8352
2 4176
2 2088
2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 8352 are 2,3,29. Prime factorization of 8352 in exponential form is:

8352 = 25×32×291

∴ So by taking common prime factors GCF of 8344 and 8352 is 8

Greatest Common Factor of 8344 and 8352 by matching factors method

Factors of 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344

Factors of 8352

List of positive integer factors of 8352 that divides 8352 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352

Greatest Common Factor

We found the factors and prime factorization of 8344 and 8352. The biggest common factor number is the GCF number.
So the greatest common factor 8344 and 8352 is 8.

Also check out the Least Common Multiple of 8344 and 8352

Properties of GCF 8344 and 8352

(i) The GCF of 8344 and 8352 is associative

GCF of 8344 and 8352 = GCF of 8352 and 8344

Related Greatest Common Factor of 8344

Related Greatest Common Factor of 8352

Frequently Asked Questions on GCF of 8344 and 8352

1. What is the GCF of 8344 and 8352?

Answer: GCF of 8344 and 8352 is 8.

2. What are the Factors of 8344?

Answer: Factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344. There are 16 integers that are factors of 8344. The greatest factor of 8344 is 8344.

3. What are the Factors of 8352?

Answer: Factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352. There are 36 integers that are factors of 8352. The greatest factor of 8352 is 8352.

4. How to Find the GCF of 8344 and 8352?

Answer:

Greatest Common Factor of 8344 and 8352 = 8

Step 1: Find the prime factorization of 8344

8344 = 2 x 2 x 2 x 7 x 149

Step 2: Find the prime factorization of 8352

8352 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29

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 8344 and 8352 is 8