Greatest Common Factor of 8172 and 8173

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 8172, 8173 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8172 and 8173 is 1.

GCF(8172,8173) = 1

GCF of 8172 and 8173

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

GCF of:
and

Greatest Common Factor of 8172 and 8173

GCF of 8172 and 8173 is 1

Prime Factorization of 8172


2 8172
2 4086
3 2043
3 681
227 227
1

Prime factors of 8172 are 2,3,227. Prime factorization of 8172 in exponential form is:

8172 = 22×32×2271

Prime Factorization of 8173


11 8173
743 743
1

Prime factors of 8173 are 11,743. Prime factorization of 8173 in exponential form is:

8173 = 111×7431

∴ So by taking common prime factors GCF of 8172 and 8173 is 1

Greatest Common Factor of 8172 and 8173 by matching factors method

Factors of 8172

List of positive integer factors of 8172 that divides 8172 without a remainder.

1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172

Factors of 8173

List of positive integer factors of 8173 that divides 8173 without a remainder.

1,11,743,8173

Greatest Common Factor

We found the factors and prime factorization of 8172 and 8173. The biggest common factor number is the GCF number.
So the greatest common factor 8172 and 8173 is 1.

Also check out the Least Common Multiple of 8172 and 8173

Properties of GCF 8172 and 8173

(i) The GCF of 8172 and 8173 is associative

GCF of 8172 and 8173 = GCF of 8173 and 8172

Related Greatest Common Factor of 8172

Related Greatest Common Factor of 8173

Frequently Asked Questions on GCF of 8172 and 8173

1. What is the GCF of 8172 and 8173?

Answer: GCF of 8172 and 8173 is 1.

2. What are the Factors of 8172?

Answer: Factors of 8172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172. There are 18 integers that are factors of 8172. The greatest factor of 8172 is 8172.

3. What are the Factors of 8173?

Answer: Factors of 8173 are 1, 11, 743, 8173. There are 4 integers that are factors of 8173. The greatest factor of 8173 is 8173.

4. How to Find the GCF of 8172 and 8173?

Answer:

Greatest Common Factor of 8172 and 8173 = 1

Step 1: Find the prime factorization of 8172

8172 = 2 x 2 x 3 x 3 x 227

Step 2: Find the prime factorization of 8173

8173 = 11 x 743

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 8172 and 8173 is 1