Greatest Common Factor of 167 and 173

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

• Greatest Common Factor of 167 and 173 by prime factorization method
• Greatest Common Factor of 167 and 173 by matching factors method

Prime Factorization of 167

Prime factors of 167 are 167. Prime factorization of 167 in exponential form is:

167 = 167¹

Prime Factorization of 173

Prime factors of 173 are 173.Prime factorization of 173 in exponential form is:

173 = 173¹

∴ So by taking common prime factors GCF of 167 and 173 is 1

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors and prime factorization of 167 and 173. The biggest common factor number is the GCF number.
So the greatest common factor 167 and 173 is 1.

Also check out the Least Common Multiple of 167 and 173

(i) The GCF of 167 and 173 is associative

GCF of 167 and 173 = GCF of 173 and 167

1. What is the GCF of 167 and 173?

Answer: GCF of 167 and 173 is 1.

2. What are the Factors of 167?

Answer: Factors of 167 are 1, 167. There are 2 integers that are factors of 167. The greatest factor of 167 is 167.

3. What are the Factors of 173?

Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.

4. How to Find the GCF of 167 and 173?

Answer:

Greatest Common Factor of 167 and 173 = 1

Step 1: Find the prime factorization of 167

167 = 167

Step 2: Find the prime factorization of 173

173 = 173

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 167 and 173 is 1