Greatest Common Factor of 8202 and 8205

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 8202, 8205 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8202 and 8205 is 3.

GCF(8202,8205) = 3

GCF of 8202 and 8205

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

GCF of:
and

Greatest Common Factor of 8202 and 8205

GCF of 8202 and 8205 is 3

Prime Factorization of 8202


2 8202
3 4101
1367 1367
1

Prime factors of 8202 are 2,3,1367. Prime factorization of 8202 in exponential form is:

8202 = 21×31×13671

Prime Factorization of 8205


3 8205
5 2735
547 547
1

Prime factors of 8205 are 3,5,547. Prime factorization of 8205 in exponential form is:

8205 = 31×51×5471

∴ So by taking common prime factors GCF of 8202 and 8205 is 3

Greatest Common Factor of 8202 and 8205 by matching factors method

Factors of 8202

List of positive integer factors of 8202 that divides 8202 without a remainder.

1,2,3,6,1367,2734,4101,8202

Factors of 8205

List of positive integer factors of 8205 that divides 8205 without a remainder.

1,3,5,15,547,1641,2735,8205

Greatest Common Factor

We found the factors and prime factorization of 8202 and 8205. The biggest common factor number is the GCF number.
So the greatest common factor 8202 and 8205 is 3.

Also check out the Least Common Multiple of 8202 and 8205

Properties of GCF 8202 and 8205

(i) The GCF of 8202 and 8205 is associative

GCF of 8202 and 8205 = GCF of 8205 and 8202

Related Greatest Common Factor of 8202

Related Greatest Common Factor of 8205

Frequently Asked Questions on GCF of 8202 and 8205

1. What is the GCF of 8202 and 8205?

Answer: GCF of 8202 and 8205 is 3.

2. What are the Factors of 8202?

Answer: Factors of 8202 are 1, 2, 3, 6, 1367, 2734, 4101, 8202. There are 8 integers that are factors of 8202. The greatest factor of 8202 is 8202.

3. What are the Factors of 8205?

Answer: Factors of 8205 are 1, 3, 5, 15, 547, 1641, 2735, 8205. There are 8 integers that are factors of 8205. The greatest factor of 8205 is 8205.

4. How to Find the GCF of 8202 and 8205?

Answer:

Greatest Common Factor of 8202 and 8205 = 3

Step 1: Find the prime factorization of 8202

8202 = 2 x 3 x 1367

Step 2: Find the prime factorization of 8205

8205 = 3 x 5 x 547

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 8202 and 8205 is 3