Greatest Common Factor of 161 and 163

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

• Greatest Common Factor of 161 and 163 by prime factorization method
• Greatest Common Factor of 161 and 163 by matching factors method

Prime Factorization of 161

Prime factors of 161 are 7,23. Prime factorization of 161 in exponential form is:

161 = 7¹×23¹

Prime Factorization of 163

Prime factors of 163 are 163. Prime factorization of 163 in exponential form is:

163 = 163¹

∴ So by taking common prime factors GCF of 161 and 163 is 1

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors and prime factorization of 161 and 163. The biggest common factor number is the GCF number.
So the greatest common factor 161 and 163 is 1.

Also check out the Least Common Multiple of 161 and 163

(i) The GCF of 161 and 163 is associative

GCF of 161 and 163 = GCF of 163 and 161

1. What is the GCF of 161 and 163?

Answer: GCF of 161 and 163 is 1.

2. What are the Factors of 161?

Answer: Factors of 161 are 1, 7, 23, 161. There are 4 integers that are factors of 161. The greatest factor of 161 is 161.

3. What are the Factors of 163?

Answer: Factors of 163 are 1, 163. There are 2 integers that are factors of 163. The greatest factor of 163 is 163.

4. How to Find the GCF of 161 and 163?

Answer:

Greatest Common Factor of 161 and 163 = 1

Step 1: Find the prime factorization of 161

161 = 7 x 23

Step 2: Find the prime factorization of 163

163 = 163

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 161 and 163 is 1