Greatest Common Factor of 8352 and 8358

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, 8358 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8352 and 8358 is 6.

GCF(8352,8358) = 6

GCF of 8352 and 8358

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

GCF of:
and

Greatest Common Factor of 8352 and 8358

GCF of 8352 and 8358 is 6

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 8358


2 8358
3 4179
7 1393
199 199
1

Prime factors of 8358 are 2,3,7,199. Prime factorization of 8358 in exponential form is:

8358 = 21×31×71×1991

∴ So by taking common prime factors GCF of 8352 and 8358 is 6

Greatest Common Factor of 8352 and 8358 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 8358

List of positive integer factors of 8358 that divides 8358 without a remainder.

1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358

Greatest Common Factor

We found the factors and prime factorization of 8352 and 8358. The biggest common factor number is the GCF number.
So the greatest common factor 8352 and 8358 is 6.

Also check out the Least Common Multiple of 8352 and 8358

Properties of GCF 8352 and 8358

(i) The GCF of 8352 and 8358 is associative

GCF of 8352 and 8358 = GCF of 8358 and 8352

Related Greatest Common Factor of 8352

Related Greatest Common Factor of 8358

Frequently Asked Questions on GCF of 8352 and 8358

1. What is the GCF of 8352 and 8358?

Answer: GCF of 8352 and 8358 is 6.

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 8358?

Answer: Factors of 8358 are 1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358. There are 16 integers that are factors of 8358. The greatest factor of 8358 is 8358.

4. How to Find the GCF of 8352 and 8358?

Answer:

Greatest Common Factor of 8352 and 8358 = 6

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 8358

8358 = 2 x 3 x 7 x 199

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8352 and 8358 is 6