Greatest Common Factor of 8352 and 8357

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, 8357 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8352 and 8357 is 1.

GCF(8352,8357) = 1

GCF of 8352 and 8357

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

GCF of:
and

Greatest Common Factor of 8352 and 8357

GCF of 8352 and 8357 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 8357


61 8357
137 137
1

Prime factors of 8357 are 61,137. Prime factorization of 8357 in exponential form is:

8357 = 611×1371

∴ So by taking common prime factors GCF of 8352 and 8357 is 1

Greatest Common Factor of 8352 and 8357 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 8357

List of positive integer factors of 8357 that divides 8357 without a remainder.

1,61,137,8357

Greatest Common Factor

We found the factors and prime factorization of 8352 and 8357. The biggest common factor number is the GCF number.
So the greatest common factor 8352 and 8357 is 1.

Also check out the Least Common Multiple of 8352 and 8357

Properties of GCF 8352 and 8357

(i) The GCF of 8352 and 8357 is associative

GCF of 8352 and 8357 = GCF of 8357 and 8352

Related Greatest Common Factor of 8352

Related Greatest Common Factor of 8357

Frequently Asked Questions on GCF of 8352 and 8357

1. What is the GCF of 8352 and 8357?

Answer: GCF of 8352 and 8357 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 8357?

Answer: Factors of 8357 are 1, 61, 137, 8357. There are 4 integers that are factors of 8357. The greatest factor of 8357 is 8357.

4. How to Find the GCF of 8352 and 8357?

Answer:

Greatest Common Factor of 8352 and 8357 = 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 8357

8357 = 61 x 137

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 8357 is 1