Greatest Common Factor of 8200 and 8202

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 8200, 8202 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8200 and 8202 is 2.

GCF(8200,8202) = 2

GCF of 8200 and 8202

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

GCF of:
and

Greatest Common Factor of 8200 and 8202

GCF of 8200 and 8202 is 2

Prime Factorization of 8200


2 8200
2 4100
2 2050
5 1025
5 205
41 41
1

Prime factors of 8200 are 2,5,41. Prime factorization of 8200 in exponential form is:

8200 = 23×52×411

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

∴ So by taking common prime factors GCF of 8200 and 8202 is 2

Greatest Common Factor of 8200 and 8202 by matching factors method

Factors of 8200

List of positive integer factors of 8200 that divides 8200 without a remainder.

1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200

Factors of 8202

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

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

Greatest Common Factor

We found the factors and prime factorization of 8200 and 8202. The biggest common factor number is the GCF number.
So the greatest common factor 8200 and 8202 is 2.

Also check out the Least Common Multiple of 8200 and 8202

Properties of GCF 8200 and 8202

(i) The GCF of 8200 and 8202 is associative

GCF of 8200 and 8202 = GCF of 8202 and 8200

Related Greatest Common Factor of 8200

Related Greatest Common Factor of 8202

Frequently Asked Questions on GCF of 8200 and 8202

1. What is the GCF of 8200 and 8202?

Answer: GCF of 8200 and 8202 is 2.

2. What are the Factors of 8200?

Answer: Factors of 8200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200. There are 24 integers that are factors of 8200. The greatest factor of 8200 is 8200.

3. 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.

4. How to Find the GCF of 8200 and 8202?

Answer:

Greatest Common Factor of 8200 and 8202 = 2

Step 1: Find the prime factorization of 8200

8200 = 2 x 2 x 2 x 5 x 5 x 41

Step 2: Find the prime factorization of 8202

8202 = 2 x 3 x 1367

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 8200 and 8202 is 2