Greatest Common Factor of 9162 and 9170

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 9162, 9170 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9162 and 9170 is 2.

GCF(9162,9170) = 2

GCF of 9162 and 9170

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

GCF of:
and

Greatest Common Factor of 9162 and 9170

GCF of 9162 and 9170 is 2

Prime Factorization of 9162


2 9162
3 4581
3 1527
509 509
1

Prime factors of 9162 are 2,3,509. Prime factorization of 9162 in exponential form is:

9162 = 21×32×5091

Prime Factorization of 9170


2 9170
5 4585
7 917
131 131
1

Prime factors of 9170 are 2,5,7,131. Prime factorization of 9170 in exponential form is:

9170 = 21×51×71×1311

∴ So by taking common prime factors GCF of 9162 and 9170 is 2

Greatest Common Factor of 9162 and 9170 by matching factors method

Factors of 9162

List of positive integer factors of 9162 that divides 9162 without a remainder.

1,2,3,6,9,18,509,1018,1527,3054,4581,9162

Factors of 9170

List of positive integer factors of 9170 that divides 9170 without a remainder.

1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170

Greatest Common Factor

We found the factors and prime factorization of 9162 and 9170. The biggest common factor number is the GCF number.
So the greatest common factor 9162 and 9170 is 2.

Also check out the Least Common Multiple of 9162 and 9170

Properties of GCF 9162 and 9170

(i) The GCF of 9162 and 9170 is associative

GCF of 9162 and 9170 = GCF of 9170 and 9162

Related Greatest Common Factor of 9162

Related Greatest Common Factor of 9170

Frequently Asked Questions on GCF of 9162 and 9170

1. What is the GCF of 9162 and 9170?

Answer: GCF of 9162 and 9170 is 2.

2. What are the Factors of 9162?

Answer: Factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162. There are 12 integers that are factors of 9162. The greatest factor of 9162 is 9162.

3. What are the Factors of 9170?

Answer: Factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170. There are 16 integers that are factors of 9170. The greatest factor of 9170 is 9170.

4. How to Find the GCF of 9162 and 9170?

Answer:

Greatest Common Factor of 9162 and 9170 = 2

Step 1: Find the prime factorization of 9162

9162 = 2 x 3 x 3 x 509

Step 2: Find the prime factorization of 9170

9170 = 2 x 5 x 7 x 131

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 9162 and 9170 is 2