Greatest Common Factor of 193 and 201

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

• Greatest Common Factor of 193 and 201 by prime factorization method
• Greatest Common Factor of 193 and 201 by matching factors method

Prime Factorization of 193

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

193 = 193¹

Prime Factorization of 201

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

201 = 3¹×67¹

∴ So by taking common prime factors GCF of 193 and 201 is 1

Factors of 193

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

1,193

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 193 and 201. The biggest common factor number is the GCF number.
So the greatest common factor 193 and 201 is 1.

Also check out the Least Common Multiple of 193 and 201

(i) The GCF of 193 and 201 is associative

GCF of 193 and 201 = GCF of 201 and 193

1. What is the GCF of 193 and 201?

Answer: GCF of 193 and 201 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 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 193 and 201?

Answer:

Greatest Common Factor of 193 and 201 = 1

Step 1: Find the prime factorization of 193

193 = 193

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 193 and 201 is 1