Greatest Common Factor of 201 and 207

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

• Greatest Common Factor of 201 and 207 by prime factorization method
• Greatest Common Factor of 201 and 207 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 207

Prime factors of 207 are 3,23. Prime factorization of 207 in exponential form is:

207 = 3²×23¹

∴ So by taking common prime factors GCF of 201 and 207 is 3

Factors of 201

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

1,3,67,201

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors and prime factorization of 201 and 207. The biggest common factor number is the GCF number.
So the greatest common factor 201 and 207 is 3.

Also check out the Least Common Multiple of 201 and 207

(i) The GCF of 201 and 207 is associative

GCF of 201 and 207 = GCF of 207 and 201

1. What is the GCF of 201 and 207?

Answer: GCF of 201 and 207 is 3.

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 207?

Answer: Factors of 207 are 1, 3, 9, 23, 69, 207. There are 6 integers that are factors of 207. The greatest factor of 207 is 207.

4. How to Find the GCF of 201 and 207?

Answer:

Greatest Common Factor of 201 and 207 = 3

Step 1: Find the prime factorization of 201

201 = 3 x 67

Step 2: Find the prime factorization of 207

207 = 3 x 3 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 201 and 207 is 3