Greatest Common Factor of 201 and 203

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

• Greatest Common Factor of 201 and 203 by prime factorization method
• Greatest Common Factor of 201 and 203 by matching factors method

Prime Factorization of 201

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

201 = 3¹×67¹

Prime Factorization of 203

Prime factors of 203 are 7,29. Prime factorization of 203 in exponential form is:

203 = 7¹×29¹

∴ So by taking common prime factors GCF of 201 and 203 is 1

Factors of 201

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

1,3,67,201

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors and prime factorization of 201 and 203. The biggest common factor number is the GCF number.
So the greatest common factor 201 and 203 is 1.

Also check out the Least Common Multiple of 201 and 203

(i) The GCF of 201 and 203 is associative

GCF of 201 and 203 = GCF of 203 and 201

1. What is the GCF of 201 and 203?

Answer: GCF of 201 and 203 is 1.

2. 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.

3. What are the Factors of 203?

Answer: Factors of 203 are 1, 7, 29, 203. There are 4 integers that are factors of 203. The greatest factor of 203 is 203.

4. How to Find the GCF of 201 and 203?

Answer:

Greatest Common Factor of 201 and 203 = 1

Step 1: Find the prime factorization of 201

201 = 3 x 67

Step 2: Find the prime factorization of 203

203 = 7 x 29

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 201 and 203 is 1