Greatest Common Factor of 34158 and 34165

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 34158, 34165 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34158 and 34165 is 1.

GCF(34158,34165) = 1

GCF of 34158 and 34165

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

GCF of:
and

Greatest Common Factor of 34158 and 34165

GCF of 34158 and 34165 is 1

Prime Factorization of 34158


2 34158
3 17079
5693 5693
1

Prime factors of 34158 are 2,3,5693. Prime factorization of 34158 in exponential form is:

34158 = 21×31×56931

Prime Factorization of 34165


5 34165
6833 6833
1

Prime factors of 34165 are 5,6833. Prime factorization of 34165 in exponential form is:

34165 = 51×68331

∴ So by taking common prime factors GCF of 34158 and 34165 is 1

Greatest Common Factor of 34158 and 34165 by matching factors method

Factors of 34158

List of positive integer factors of 34158 that divides 34158 without a remainder.

1,2,3,6,5693,11386,17079,34158

Factors of 34165

List of positive integer factors of 34165 that divides 34165 without a remainder.

1,5,6833,34165

Greatest Common Factor

We found the factors and prime factorization of 34158 and 34165. The biggest common factor number is the GCF number.
So the greatest common factor 34158 and 34165 is 1.

Also check out the Least Common Multiple of 34158 and 34165

Properties of GCF 34158 and 34165

(i) The GCF of 34158 and 34165 is associative

GCF of 34158 and 34165 = GCF of 34165 and 34158

Frequently Asked Questions on GCF of 34158 and 34165

1. What is the GCF of 34158 and 34165?

Answer: GCF of 34158 and 34165 is 1.

2. What are the Factors of 34158?

Answer: Factors of 34158 are 1, 2, 3, 6, 5693, 11386, 17079, 34158. There are 8 integers that are factors of 34158. The greatest factor of 34158 is 34158.

3. What are the Factors of 34165?

Answer: Factors of 34165 are 1, 5, 6833, 34165. There are 4 integers that are factors of 34165. The greatest factor of 34165 is 34165.

4. How to Find the GCF of 34158 and 34165?

Answer:

Greatest Common Factor of 34158 and 34165 = 1

Step 1: Find the prime factorization of 34158

34158 = 2 x 3 x 5693

Step 2: Find the prime factorization of 34165

34165 = 5 x 6833

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 34158 and 34165 is 1