Greatest Common Factor of 7172 and 7173

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 7172, 7173 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7172 and 7173 is 1.

GCF(7172,7173) = 1

GCF of 7172 and 7173

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

GCF of:
and

Greatest Common Factor of 7172 and 7173

GCF of 7172 and 7173 is 1

Prime Factorization of 7172


2 7172
2 3586
11 1793
163 163
1

Prime factors of 7172 are 2,11,163. Prime factorization of 7172 in exponential form is:

7172 = 22×111×1631

Prime Factorization of 7173


3 7173
3 2391
797 797
1

Prime factors of 7173 are 3,797. Prime factorization of 7173 in exponential form is:

7173 = 32×7971

∴ So by taking common prime factors GCF of 7172 and 7173 is 1

Greatest Common Factor of 7172 and 7173 by matching factors method

Factors of 7172

List of positive integer factors of 7172 that divides 7172 without a remainder.

1,2,4,11,22,44,163,326,652,1793,3586,7172

Factors of 7173

List of positive integer factors of 7173 that divides 7173 without a remainder.

1,3,9,797,2391,7173

Greatest Common Factor

We found the factors and prime factorization of 7172 and 7173. The biggest common factor number is the GCF number.
So the greatest common factor 7172 and 7173 is 1.

Also check out the Least Common Multiple of 7172 and 7173

Properties of GCF 7172 and 7173

(i) The GCF of 7172 and 7173 is associative

GCF of 7172 and 7173 = GCF of 7173 and 7172

Related Greatest Common Factor of 7172

Related Greatest Common Factor of 7173

Frequently Asked Questions on GCF of 7172 and 7173

1. What is the GCF of 7172 and 7173?

Answer: GCF of 7172 and 7173 is 1.

2. What are the Factors of 7172?

Answer: Factors of 7172 are 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172. There are 12 integers that are factors of 7172. The greatest factor of 7172 is 7172.

3. What are the Factors of 7173?

Answer: Factors of 7173 are 1, 3, 9, 797, 2391, 7173. There are 6 integers that are factors of 7173. The greatest factor of 7173 is 7173.

4. How to Find the GCF of 7172 and 7173?

Answer:

Greatest Common Factor of 7172 and 7173 = 1

Step 1: Find the prime factorization of 7172

7172 = 2 x 2 x 11 x 163

Step 2: Find the prime factorization of 7173

7173 = 3 x 3 x 797

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 7172 and 7173 is 1