Greatest Common Factor of 8162 and 8169

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 8162, 8169 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8162 and 8169 is 7.

GCF(8162,8169) = 7

GCF of 8162 and 8169

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

GCF of:
and

Greatest Common Factor of 8162 and 8169

GCF of 8162 and 8169 is 7

Prime Factorization of 8162


2 8162
7 4081
11 583
53 53
1

Prime factors of 8162 are 2,7,11,53. Prime factorization of 8162 in exponential form is:

8162 = 21×71×111×531

Prime Factorization of 8169


3 8169
7 2723
389 389
1

Prime factors of 8169 are 3,7,389. Prime factorization of 8169 in exponential form is:

8169 = 31×71×3891

∴ So by taking common prime factors GCF of 8162 and 8169 is 7

Greatest Common Factor of 8162 and 8169 by matching factors method

Factors of 8162

List of positive integer factors of 8162 that divides 8162 without a remainder.

1,2,7,11,14,22,53,77,106,154,371,583,742,1166,4081,8162

Factors of 8169

List of positive integer factors of 8169 that divides 8169 without a remainder.

1,3,7,21,389,1167,2723,8169

Greatest Common Factor

We found the factors and prime factorization of 8162 and 8169. The biggest common factor number is the GCF number.
So the greatest common factor 8162 and 8169 is 7.

Also check out the Least Common Multiple of 8162 and 8169

Properties of GCF 8162 and 8169

(i) The GCF of 8162 and 8169 is associative

GCF of 8162 and 8169 = GCF of 8169 and 8162

Related Greatest Common Factor of 8162

Related Greatest Common Factor of 8169

Frequently Asked Questions on GCF of 8162 and 8169

1. What is the GCF of 8162 and 8169?

Answer: GCF of 8162 and 8169 is 7.

2. What are the Factors of 8162?

Answer: Factors of 8162 are 1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 8162. There are 16 integers that are factors of 8162. The greatest factor of 8162 is 8162.

3. What are the Factors of 8169?

Answer: Factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169. There are 8 integers that are factors of 8169. The greatest factor of 8169 is 8169.

4. How to Find the GCF of 8162 and 8169?

Answer:

Greatest Common Factor of 8162 and 8169 = 7

Step 1: Find the prime factorization of 8162

8162 = 2 x 7 x 11 x 53

Step 2: Find the prime factorization of 8169

8169 = 3 x 7 x 389

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8162 and 8169 is 7