Greatest Common Factor of 202 and 207

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

• Greatest Common Factor of 202 and 207 by prime factorization method
• Greatest Common Factor of 202 and 207 by matching factors method

Prime Factorization of 202

Prime factors of 202 are 2,101. Prime factorization of 202 in exponential form is:

202 = 2¹×101¹

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 202 and 207 is 1

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

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 202 and 207. The biggest common factor number is the GCF number.
So the greatest common factor 202 and 207 is 1.

Also check out the Least Common Multiple of 202 and 207

(i) The GCF of 202 and 207 is associative

GCF of 202 and 207 = GCF of 207 and 202

1. What is the GCF of 202 and 207?

Answer: GCF of 202 and 207 is 1.

2. What are the Factors of 202?

Answer: Factors of 202 are 1, 2, 101, 202. There are 4 integers that are factors of 202. The greatest factor of 202 is 202.

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 202 and 207?

Answer:

Greatest Common Factor of 202 and 207 = 1

Step 1: Find the prime factorization of 202

202 = 2 x 101

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 = = 1

Step 4: Therefore, the greatest common factor of 202 and 207 is 1