Greatest Common Factor of 8330 and 8336

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 8330, 8336 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8330 and 8336 is 2.

GCF(8330,8336) = 2

GCF of 8330 and 8336

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

GCF of:
and

Greatest Common Factor of 8330 and 8336

GCF of 8330 and 8336 is 2

Prime Factorization of 8330


2 8330
5 4165
7 833
7 119
17 17
1

Prime factors of 8330 are 2,5,7,17. Prime factorization of 8330 in exponential form is:

8330 = 21×51×72×171

Prime Factorization of 8336


2 8336
2 4168
2 2084
2 1042
521 521
1

Prime factors of 8336 are 2,521. Prime factorization of 8336 in exponential form is:

8336 = 24×5211

∴ So by taking common prime factors GCF of 8330 and 8336 is 2

Greatest Common Factor of 8330 and 8336 by matching factors method

Factors of 8330

List of positive integer factors of 8330 that divides 8330 without a remainder.

1,2,5,7,10,14,17,34,35,49,70,85,98,119,170,238,245,490,595,833,1190,1666,4165,8330

Factors of 8336

List of positive integer factors of 8336 that divides 8336 without a remainder.

1,2,4,8,16,521,1042,2084,4168,8336

Greatest Common Factor

We found the factors and prime factorization of 8330 and 8336. The biggest common factor number is the GCF number.
So the greatest common factor 8330 and 8336 is 2.

Also check out the Least Common Multiple of 8330 and 8336

Properties of GCF 8330 and 8336

(i) The GCF of 8330 and 8336 is associative

GCF of 8330 and 8336 = GCF of 8336 and 8330

Related Greatest Common Factor of 8330

Related Greatest Common Factor of 8336

Frequently Asked Questions on GCF of 8330 and 8336

1. What is the GCF of 8330 and 8336?

Answer: GCF of 8330 and 8336 is 2.

2. What are the Factors of 8330?

Answer: Factors of 8330 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330. There are 24 integers that are factors of 8330. The greatest factor of 8330 is 8330.

3. What are the Factors of 8336?

Answer: Factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336. There are 10 integers that are factors of 8336. The greatest factor of 8336 is 8336.

4. How to Find the GCF of 8330 and 8336?

Answer:

Greatest Common Factor of 8330 and 8336 = 2

Step 1: Find the prime factorization of 8330

8330 = 2 x 5 x 7 x 7 x 17

Step 2: Find the prime factorization of 8336

8336 = 2 x 2 x 2 x 2 x 521

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8330 and 8336 is 2