Greatest Common Factor of 34150 and 34155

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 34150, 34155 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34150 and 34155 is 5.

GCF(34150,34155) = 5

GCF of 34150 and 34155

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

GCF of:
and

Greatest Common Factor of 34150 and 34155

GCF of 34150 and 34155 is 5

Prime Factorization of 34150


2 34150
5 17075
5 3415
683 683
1

Prime factors of 34150 are 2,5,683. Prime factorization of 34150 in exponential form is:

34150 = 21×52×6831

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

∴ So by taking common prime factors GCF of 34150 and 34155 is 5

Greatest Common Factor of 34150 and 34155 by matching factors method

Factors of 34150

List of positive integer factors of 34150 that divides 34150 without a remainder.

1,2,5,10,25,50,683,1366,3415,6830,17075,34150

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

Greatest Common Factor

We found the factors and prime factorization of 34150 and 34155. The biggest common factor number is the GCF number.
So the greatest common factor 34150 and 34155 is 5.

Also check out the Least Common Multiple of 34150 and 34155

Properties of GCF 34150 and 34155

(i) The GCF of 34150 and 34155 is associative

GCF of 34150 and 34155 = GCF of 34155 and 34150

Related Greatest Common Factor of 34150

Related Greatest Common Factor of 34155

Frequently Asked Questions on GCF of 34150 and 34155

1. What is the GCF of 34150 and 34155?

Answer: GCF of 34150 and 34155 is 5.

2. What are the Factors of 34150?

Answer: Factors of 34150 are 1, 2, 5, 10, 25, 50, 683, 1366, 3415, 6830, 17075, 34150. There are 12 integers that are factors of 34150. The greatest factor of 34150 is 34150.

3. 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.

4. How to Find the GCF of 34150 and 34155?

Answer:

Greatest Common Factor of 34150 and 34155 = 5

Step 1: Find the prime factorization of 34150

34150 = 2 x 5 x 5 x 683

Step 2: Find the prime factorization of 34155

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

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

GCF = 5

Step 4: Therefore, the greatest common factor of 34150 and 34155 is 5