Greatest Common Factor of 193 and 200

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 193, 200 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 193 and 200 is 1.

GCF(193,200) = 1

GCF of 193 and 200

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

GCF of:
and

Greatest Common Factor of 193 and 200

GCF of 193 and 200 is 1

Prime Factorization of 193


193 193
1

Prime factors of 193 are 193. Prime factorization of 193 in exponential form is:

193 = 1931

Prime Factorization of 200


2 200
2 100
2 50
5 25
5 5
1

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

200 = 23×52

∴ So by taking common prime factors GCF of 193 and 200 is 1

Greatest Common Factor of 193 and 200 by matching factors method

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

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

Greatest Common Factor

We found the factors and prime factorization of 193 and 200. The biggest common factor number is the GCF number.
So the greatest common factor 193 and 200 is 1.

Also check out the Least Common Multiple of 193 and 200

Properties of GCF 193 and 200

(i) The GCF of 193 and 200 is associative

GCF of 193 and 200 = GCF of 200 and 193

Related Greatest Common Factor of 193

Related Greatest Common Factor of 200

Frequently Asked Questions on GCF of 193 and 200

1. What is the GCF of 193 and 200?

Answer: GCF of 193 and 200 is 1.

2. What are the Factors of 193?

Answer: Factors of 193 are 1, 193. There are 2 integers that are factors of 193. The greatest factor of 193 is 193.

3. 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.

4. How to Find the GCF of 193 and 200?

Answer:

Greatest Common Factor of 193 and 200 = 1

Step 1: Find the prime factorization of 193

193 = 193

Step 2: Find the prime factorization of 200

200 = 2 x 2 x 2 x 5 x 5

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 193 and 200 is 1