Greatest Common Factor of 8229 and 8235

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 8229, 8235 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8229 and 8235 is 3.

GCF(8229,8235) = 3

GCF of 8229 and 8235

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

GCF of:
and

Greatest Common Factor of 8229 and 8235

GCF of 8229 and 8235 is 3

Prime Factorization of 8229


3 8229
13 2743
211 211
1

Prime factors of 8229 are 3,13,211. Prime factorization of 8229 in exponential form is:

8229 = 31×131×2111

Prime Factorization of 8235


3 8235
3 2745
3 915
5 305
61 61
1

Prime factors of 8235 are 3,5,61. Prime factorization of 8235 in exponential form is:

8235 = 33×51×611

∴ So by taking common prime factors GCF of 8229 and 8235 is 3

Greatest Common Factor of 8229 and 8235 by matching factors method

Factors of 8229

List of positive integer factors of 8229 that divides 8229 without a remainder.

1,3,13,39,211,633,2743,8229

Factors of 8235

List of positive integer factors of 8235 that divides 8235 without a remainder.

1,3,5,9,15,27,45,61,135,183,305,549,915,1647,2745,8235

Greatest Common Factor

We found the factors and prime factorization of 8229 and 8235. The biggest common factor number is the GCF number.
So the greatest common factor 8229 and 8235 is 3.

Also check out the Least Common Multiple of 8229 and 8235

Properties of GCF 8229 and 8235

(i) The GCF of 8229 and 8235 is associative

GCF of 8229 and 8235 = GCF of 8235 and 8229

Related Greatest Common Factor of 8229

Related Greatest Common Factor of 8235

Frequently Asked Questions on GCF of 8229 and 8235

1. What is the GCF of 8229 and 8235?

Answer: GCF of 8229 and 8235 is 3.

2. What are the Factors of 8229?

Answer: Factors of 8229 are 1, 3, 13, 39, 211, 633, 2743, 8229. There are 8 integers that are factors of 8229. The greatest factor of 8229 is 8229.

3. What are the Factors of 8235?

Answer: Factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235. There are 16 integers that are factors of 8235. The greatest factor of 8235 is 8235.

4. How to Find the GCF of 8229 and 8235?

Answer:

Greatest Common Factor of 8229 and 8235 = 3

Step 1: Find the prime factorization of 8229

8229 = 3 x 13 x 211

Step 2: Find the prime factorization of 8235

8235 = 3 x 3 x 3 x 5 x 61

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8229 and 8235 is 3