Greatest Common Factor of 197 and 201

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

• Greatest Common Factor of 197 and 201 by prime factorization method
• Greatest Common Factor of 197 and 201 by matching factors method

Prime Factorization of 197

Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:

197 = 197¹

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 197 and 201 is 1

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

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 197 and 201. The biggest common factor number is the GCF number.
So the greatest common factor 197 and 201 is 1.

Also check out the Least Common Multiple of 197 and 201

(i) The GCF of 197 and 201 is associative

GCF of 197 and 201 = GCF of 201 and 197

1. What is the GCF of 197 and 201?

Answer: GCF of 197 and 201 is 1.

2. What are the Factors of 197?

Answer: Factors of 197 are 1, 197. There are 2 integers that are factors of 197. The greatest factor of 197 is 197.

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 197 and 201?

Answer:

Greatest Common Factor of 197 and 201 = 1

Step 1: Find the prime factorization of 197

197 = 197

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 197 and 201 is 1