Greatest Common Factor of 10167 and 10172

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 10167, 10172 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10167 and 10172 is 1.

GCF(10167,10172) = 1

GCF of 10167 and 10172

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

GCF of:
and

Greatest Common Factor of 10167 and 10172

GCF of 10167 and 10172 is 1

Prime Factorization of 10167


3 10167
3389 3389
1

Prime factors of 10167 are 3,3389. Prime factorization of 10167 in exponential form is:

10167 = 31×33891

Prime Factorization of 10172


2 10172
2 5086
2543 2543
1

Prime factors of 10172 are 2,2543. Prime factorization of 10172 in exponential form is:

10172 = 22×25431

∴ So by taking common prime factors GCF of 10167 and 10172 is 1

Greatest Common Factor of 10167 and 10172 by matching factors method

Factors of 10167

List of positive integer factors of 10167 that divides 10167 without a remainder.

1,3,3389,10167

Factors of 10172

List of positive integer factors of 10172 that divides 10172 without a remainder.

1,2,4,2543,5086,10172

Greatest Common Factor

We found the factors and prime factorization of 10167 and 10172. The biggest common factor number is the GCF number.
So the greatest common factor 10167 and 10172 is 1.

Also check out the Least Common Multiple of 10167 and 10172

Properties of GCF 10167 and 10172

(i) The GCF of 10167 and 10172 is associative

GCF of 10167 and 10172 = GCF of 10172 and 10167

Related Greatest Common Factor of 10167

Related Greatest Common Factor of 10172

Frequently Asked Questions on GCF of 10167 and 10172

1. What is the GCF of 10167 and 10172?

Answer: GCF of 10167 and 10172 is 1.

2. What are the Factors of 10167?

Answer: Factors of 10167 are 1, 3, 3389, 10167. There are 4 integers that are factors of 10167. The greatest factor of 10167 is 10167.

3. What are the Factors of 10172?

Answer: Factors of 10172 are 1, 2, 4, 2543, 5086, 10172. There are 6 integers that are factors of 10172. The greatest factor of 10172 is 10172.

4. How to Find the GCF of 10167 and 10172?

Answer:

Greatest Common Factor of 10167 and 10172 = 1

Step 1: Find the prime factorization of 10167

10167 = 3 x 3389

Step 2: Find the prime factorization of 10172

10172 = 2 x 2 x 2543

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 10167 and 10172 is 1