Greatest Common Factor of 200 and 201

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 200, 201 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 200 and 201 is 1.

GCF(200,201) = 1

GCF of 200 and 201

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

GCF of:
and

Greatest Common Factor of 200 and 201

GCF of 200 and 201 is 1

Prime Factorization of 200


2 200
2 100
2 50
5 25
5 5
1

Prime factors of 200 are 2,5. Prime factorization of 200 in exponential form is:

200 = 23×52

Prime Factorization of 201


3 201
67 67
1

Prime factors of 201 are 3,67. Prime factorization of 201 in exponential form is:

201 = 31×671

∴ So by taking common prime factors GCF of 200 and 201 is 1

Greatest Common Factor of 200 and 201 by matching factors method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors and prime factorization of 200 and 201. The biggest common factor number is the GCF number.
So the greatest common factor 200 and 201 is 1.

Also check out the Least Common Multiple of 200 and 201

Properties of GCF 200 and 201

(i) The GCF of 200 and 201 is associative

GCF of 200 and 201 = GCF of 201 and 200

Related Greatest Common Factor of 200

Related Greatest Common Factor of 201

Frequently Asked Questions on GCF of 200 and 201

1. What is the GCF of 200 and 201?

Answer: GCF of 200 and 201 is 1.

2. What are the Factors of 200?

Answer: Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200. There are 12 integers that are factors of 200. The greatest factor of 200 is 200.

3. What are the Factors of 201?

Answer: Factors of 201 are 1, 3, 67, 201. There are 4 integers that are factors of 201. The greatest factor of 201 is 201.

4. How to Find the GCF of 200 and 201?

Answer:

Greatest Common Factor of 200 and 201 = 1

Step 1: Find the prime factorization of 200

200 = 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 201

201 = 3 x 67

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 200 and 201 is 1