Greatest Common Factor of 7162 and 7163

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 7162, 7163 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7162 and 7163 is 1.

GCF(7162,7163) = 1

GCF of 7162 and 7163

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

GCF of:
and

Greatest Common Factor of 7162 and 7163

GCF of 7162 and 7163 is 1

Prime Factorization of 7162


2 7162
3581 3581
1

Prime factors of 7162 are 2,3581. Prime factorization of 7162 in exponential form is:

7162 = 21×35811

Prime Factorization of 7163


13 7163
19 551
29 29
1

Prime factors of 7163 are 13,19,29. Prime factorization of 7163 in exponential form is:

7163 = 131×191×291

∴ So by taking common prime factors GCF of 7162 and 7163 is 1

Greatest Common Factor of 7162 and 7163 by matching factors method

Factors of 7162

List of positive integer factors of 7162 that divides 7162 without a remainder.

1,2,3581,7162

Factors of 7163

List of positive integer factors of 7163 that divides 7163 without a remainder.

1,13,19,29,247,377,551,7163

Greatest Common Factor

We found the factors and prime factorization of 7162 and 7163. The biggest common factor number is the GCF number.
So the greatest common factor 7162 and 7163 is 1.

Also check out the Least Common Multiple of 7162 and 7163

Properties of GCF 7162 and 7163

(i) The GCF of 7162 and 7163 is associative

GCF of 7162 and 7163 = GCF of 7163 and 7162

Frequently Asked Questions on GCF of 7162 and 7163

1. What is the GCF of 7162 and 7163?

Answer: GCF of 7162 and 7163 is 1.

2. What are the Factors of 7162?

Answer: Factors of 7162 are 1, 2, 3581, 7162. There are 4 integers that are factors of 7162. The greatest factor of 7162 is 7162.

3. What are the Factors of 7163?

Answer: Factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163. There are 8 integers that are factors of 7163. The greatest factor of 7163 is 7163.

4. How to Find the GCF of 7162 and 7163?

Answer:

Greatest Common Factor of 7162 and 7163 = 1

Step 1: Find the prime factorization of 7162

7162 = 2 x 3581

Step 2: Find the prime factorization of 7163

7163 = 13 x 19 x 29

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 7162 and 7163 is 1