Greatest Common Factor of 8352 and 8359

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 8352, 8359 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8352 and 8359 is 1.

GCF(8352,8359) = 1

GCF of 8352 and 8359

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

GCF of:
and

Greatest Common Factor of 8352 and 8359

GCF of 8352 and 8359 is 1

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

Prime Factorization of 8359


13 8359
643 643
1

Prime factors of 8359 are 13,643. Prime factorization of 8359 in exponential form is:

8359 = 131×6431

∴ So by taking common prime factors GCF of 8352 and 8359 is 1

Greatest Common Factor of 8352 and 8359 by matching factors method

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

Factors of 8359

List of positive integer factors of 8359 that divides 8359 without a remainder.

1,13,643,8359

Greatest Common Factor

We found the factors and prime factorization of 8352 and 8359. The biggest common factor number is the GCF number.
So the greatest common factor 8352 and 8359 is 1.

Also check out the Least Common Multiple of 8352 and 8359

Properties of GCF 8352 and 8359

(i) The GCF of 8352 and 8359 is associative

GCF of 8352 and 8359 = GCF of 8359 and 8352

Related Greatest Common Factor of 8352

Related Greatest Common Factor of 8359

Frequently Asked Questions on GCF of 8352 and 8359

1. What is the GCF of 8352 and 8359?

Answer: GCF of 8352 and 8359 is 1.

2. 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.

3. What are the Factors of 8359?

Answer: Factors of 8359 are 1, 13, 643, 8359. There are 4 integers that are factors of 8359. The greatest factor of 8359 is 8359.

4. How to Find the GCF of 8352 and 8359?

Answer:

Greatest Common Factor of 8352 and 8359 = 1

Step 1: Find the prime factorization of 8352

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

Step 2: Find the prime factorization of 8359

8359 = 13 x 643

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8352 and 8359 is 1