Greatest Common Factor of 34155 and 34162

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 34155, 34162 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34155 and 34162 is 1.

GCF(34155,34162) = 1

GCF of 34155 and 34162

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

GCF of:
and

Greatest Common Factor of 34155 and 34162

GCF of 34155 and 34162 is 1

Prime Factorization of 34155


3 34155
3 11385
3 3795
5 1265
11 253
23 23
1

Prime factors of 34155 are 3,5,11,23. Prime factorization of 34155 in exponential form is:

34155 = 33×51×111×231

Prime Factorization of 34162


2 34162
19 17081
29 899
31 31
1

Prime factors of 34162 are 2,19,29,31. Prime factorization of 34162 in exponential form is:

34162 = 21×191×291×311

∴ So by taking common prime factors GCF of 34155 and 34162 is 1

Greatest Common Factor of 34155 and 34162 by matching factors method

Factors of 34155

List of positive integer factors of 34155 that divides 34155 without a remainder.

1,3,5,9,11,15,23,27,33,45,55,69,99,115,135,165,207,253,297,345,495,621,759,1035,1265,1485,2277,3105,3795,6831,11385,34155

Factors of 34162

List of positive integer factors of 34162 that divides 34162 without a remainder.

1,2,19,29,31,38,58,62,551,589,899,1102,1178,1798,17081,34162

Greatest Common Factor

We found the factors and prime factorization of 34155 and 34162. The biggest common factor number is the GCF number.
So the greatest common factor 34155 and 34162 is 1.

Also check out the Least Common Multiple of 34155 and 34162

Properties of GCF 34155 and 34162

(i) The GCF of 34155 and 34162 is associative

GCF of 34155 and 34162 = GCF of 34162 and 34155

Frequently Asked Questions on GCF of 34155 and 34162

1. What is the GCF of 34155 and 34162?

Answer: GCF of 34155 and 34162 is 1.

2. What are the Factors of 34155?

Answer: Factors of 34155 are 1, 3, 5, 9, 11, 15, 23, 27, 33, 45, 55, 69, 99, 115, 135, 165, 207, 253, 297, 345, 495, 621, 759, 1035, 1265, 1485, 2277, 3105, 3795, 6831, 11385, 34155. There are 32 integers that are factors of 34155. The greatest factor of 34155 is 34155.

3. What are the Factors of 34162?

Answer: Factors of 34162 are 1, 2, 19, 29, 31, 38, 58, 62, 551, 589, 899, 1102, 1178, 1798, 17081, 34162. There are 16 integers that are factors of 34162. The greatest factor of 34162 is 34162.

4. How to Find the GCF of 34155 and 34162?

Answer:

Greatest Common Factor of 34155 and 34162 = 1

Step 1: Find the prime factorization of 34155

34155 = 3 x 3 x 3 x 5 x 11 x 23

Step 2: Find the prime factorization of 34162

34162 = 2 x 19 x 29 x 31

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 34155 and 34162 is 1