Greatest Common Factor of 36150 and 36155

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 36150, 36155 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36150 and 36155 is 5.

GCF(36150,36155) = 5

GCF of 36150 and 36155

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

GCF of:
and

Greatest Common Factor of 36150 and 36155

GCF of 36150 and 36155 is 5

Prime Factorization of 36150


2 36150
3 18075
5 6025
5 1205
241 241
1

Prime factors of 36150 are 2,3,5,241. Prime factorization of 36150 in exponential form is:

36150 = 21×31×52×2411

Prime Factorization of 36155


5 36155
7 7231
1033 1033
1

Prime factors of 36155 are 5,7,1033. Prime factorization of 36155 in exponential form is:

36155 = 51×71×10331

∴ So by taking common prime factors GCF of 36150 and 36155 is 5

Greatest Common Factor of 36150 and 36155 by matching factors method

Factors of 36150

List of positive integer factors of 36150 that divides 36150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150,241,482,723,1205,1446,2410,3615,6025,7230,12050,18075,36150

Factors of 36155

List of positive integer factors of 36155 that divides 36155 without a remainder.

1,5,7,35,1033,5165,7231,36155

Greatest Common Factor

We found the factors and prime factorization of 36150 and 36155. The biggest common factor number is the GCF number.
So the greatest common factor 36150 and 36155 is 5.

Also check out the Least Common Multiple of 36150 and 36155

Properties of GCF 36150 and 36155

(i) The GCF of 36150 and 36155 is associative

GCF of 36150 and 36155 = GCF of 36155 and 36150

Related Greatest Common Factor of 36150

Related Greatest Common Factor of 36155

Frequently Asked Questions on GCF of 36150 and 36155

1. What is the GCF of 36150 and 36155?

Answer: GCF of 36150 and 36155 is 5.

2. What are the Factors of 36150?

Answer: Factors of 36150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 241, 482, 723, 1205, 1446, 2410, 3615, 6025, 7230, 12050, 18075, 36150. There are 24 integers that are factors of 36150. The greatest factor of 36150 is 36150.

3. What are the Factors of 36155?

Answer: Factors of 36155 are 1, 5, 7, 35, 1033, 5165, 7231, 36155. There are 8 integers that are factors of 36155. The greatest factor of 36155 is 36155.

4. How to Find the GCF of 36150 and 36155?

Answer:

Greatest Common Factor of 36150 and 36155 = 5

Step 1: Find the prime factorization of 36150

36150 = 2 x 3 x 5 x 5 x 241

Step 2: Find the prime factorization of 36155

36155 = 5 x 7 x 1033

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 36150 and 36155 is 5