Greatest Common Factor of 8200 and 8201

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, 8201 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8200 and 8201 is 1.

GCF(8200,8201) = 1

GCF of 8200 and 8201

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

GCF of:
and

Greatest Common Factor of 8200 and 8201

GCF of 8200 and 8201 is 1

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 8201


59 8201
139 139
1

Prime factors of 8201 are 59,139. Prime factorization of 8201 in exponential form is:

8201 = 591×1391

∴ So by taking common prime factors GCF of 8200 and 8201 is 1

Greatest Common Factor of 8200 and 8201 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 8201

List of positive integer factors of 8201 that divides 8201 without a remainder.

1,59,139,8201

Greatest Common Factor

We found the factors and prime factorization of 8200 and 8201. The biggest common factor number is the GCF number.
So the greatest common factor 8200 and 8201 is 1.

Also check out the Least Common Multiple of 8200 and 8201

Properties of GCF 8200 and 8201

(i) The GCF of 8200 and 8201 is associative

GCF of 8200 and 8201 = GCF of 8201 and 8200

Related Greatest Common Factor of 8200

Related Greatest Common Factor of 8201

Frequently Asked Questions on GCF of 8200 and 8201

1. What is the GCF of 8200 and 8201?

Answer: GCF of 8200 and 8201 is 1.

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 8201?

Answer: Factors of 8201 are 1, 59, 139, 8201. There are 4 integers that are factors of 8201. The greatest factor of 8201 is 8201.

4. How to Find the GCF of 8200 and 8201?

Answer:

Greatest Common Factor of 8200 and 8201 = 1

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 8201

8201 = 59 x 139

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 8200 and 8201 is 1