Greatest Common Factor of 12167 and 12172

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 12167, 12172 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12167 and 12172 is 1.

GCF(12167,12172) = 1

GCF of 12167 and 12172

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

GCF of:
and

Greatest Common Factor of 12167 and 12172

GCF of 12167 and 12172 is 1

Prime Factorization of 12167


23 12167
23 529
23 23
1

Prime factors of 12167 are 23. Prime factorization of 12167 in exponential form is:

12167 = 233

Prime Factorization of 12172


2 12172
2 6086
17 3043
179 179
1

Prime factors of 12172 are 2.Prime factorization of 12172 in exponential form is:

12172 = 22×171×1791

∴ So by taking common prime factors GCF of 12167 and 12172 is 1

Greatest Common Factor of 12167 and 12172 by matching factors method

Factors of 12167

List of positive integer factors of 12167 that divides 12167 without a remainder.

1,23,529,12167

Factors of 12172

List of positive integer factors of 12172 that divides 12172 without a remainder.

1,2,4,17,34,68,179,358,716,3043,6086,12172

Greatest Common Factor

We found the factors and prime factorization of 12167 and 12172. The biggest common factor number is the GCF number.
So the greatest common factor 12167 and 12172 is 1.

Also check out the Least Common Multiple of 12167 and 12172

Properties of GCF 12167 and 12172

(i) The GCF of 12167 and 12172 is associative

GCF of 12167 and 12172 = GCF of 12172 and 12167

Related Greatest Common Factor of 12167

Related Greatest Common Factor of 12172

Frequently Asked Questions on GCF of 12167 and 12172

1. What is the GCF of 12167 and 12172?

Answer: GCF of 12167 and 12172 is 1.

2. What are the Factors of 12167?

Answer: Factors of 12167 are 1, 23, 529, 12167. There are 4 integers that are factors of 12167. The greatest factor of 12167 is 12167.

3. What are the Factors of 12172?

Answer: Factors of 12172 are 1, 2, 4, 17, 34, 68, 179, 358, 716, 3043, 6086, 12172. There are 12 integers that are factors of 12172. The greatest factor of 12172 is 12172.

4. How to Find the GCF of 12167 and 12172?

Answer:

Greatest Common Factor of 12167 and 12172 = 1

Step 1: Find the prime factorization of 12167

12167 = 23 x 23 x 23

Step 2: Find the prime factorization of 12172

12172 = 2 x 2 x 17 x 179

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 12167 and 12172 is 1