Greatest Common Factor of 167 and 172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 167, 172 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 167 and 172 is 1.

GCF(167,172) = 1

GCF of 167 and 172

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

GCF of:
and

Greatest Common Factor of 167 and 172

GCF of 167 and 172 is 1

Prime Factorization of 167


167 167
1

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

167 = 1671

Prime Factorization of 172


2 172
2 86
43 43
1

Prime factors of 172 are 2.Prime factorization of 172 in exponential form is:

172 = 22×431

∴ So by taking common prime factors GCF of 167 and 172 is 1

Greatest Common Factor of 167 and 172 by matching factors method

Factors of 167

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

1,167

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors and prime factorization of 167 and 172. The biggest common factor number is the GCF number.
So the greatest common factor 167 and 172 is 1.

Also check out the Least Common Multiple of 167 and 172

Properties of GCF 167 and 172

(i) The GCF of 167 and 172 is associative

GCF of 167 and 172 = GCF of 172 and 167

Related Greatest Common Factor of 167

Related Greatest Common Factor of 172

Frequently Asked Questions on GCF of 167 and 172

1. What is the GCF of 167 and 172?

Answer: GCF of 167 and 172 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 172?

Answer: Factors of 172 are 1, 2, 4, 43, 86, 172. There are 6 integers that are factors of 172. The greatest factor of 172 is 172.

4. How to Find the GCF of 167 and 172?

Answer:

Greatest Common Factor of 167 and 172 = 1

Step 1: Find the prime factorization of 167

167 = 167

Step 2: Find the prime factorization of 172

172 = 2 x 2 x 43

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 172 is 1