Greatest Common Factor of 10180 and 10185

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 10180, 10185 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10180 and 10185 is 5.

GCF(10180,10185) = 5

GCF of 10180 and 10185

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

GCF of:
and

Greatest Common Factor of 10180 and 10185

GCF of 10180 and 10185 is 5

Prime Factorization of 10180


2 10180
2 5090
5 2545
509 509
1

Prime factors of 10180 are 2,5,509. Prime factorization of 10180 in exponential form is:

10180 = 22×51×5091

Prime Factorization of 10185


3 10185
5 3395
7 679
97 97
1

Prime factors of 10185 are 3,5,7,97. Prime factorization of 10185 in exponential form is:

10185 = 31×51×71×971

∴ So by taking common prime factors GCF of 10180 and 10185 is 5

Greatest Common Factor of 10180 and 10185 by matching factors method

Factors of 10180

List of positive integer factors of 10180 that divides 10180 without a remainder.

1,2,4,5,10,20,509,1018,2036,2545,5090,10180

Factors of 10185

List of positive integer factors of 10185 that divides 10185 without a remainder.

1,3,5,7,15,21,35,97,105,291,485,679,1455,2037,3395,10185

Greatest Common Factor

We found the factors and prime factorization of 10180 and 10185. The biggest common factor number is the GCF number.
So the greatest common factor 10180 and 10185 is 5.

Also check out the Least Common Multiple of 10180 and 10185

Properties of GCF 10180 and 10185

(i) The GCF of 10180 and 10185 is associative

GCF of 10180 and 10185 = GCF of 10185 and 10180

Related Greatest Common Factor of 10180

Related Greatest Common Factor of 10185

Frequently Asked Questions on GCF of 10180 and 10185

1. What is the GCF of 10180 and 10185?

Answer: GCF of 10180 and 10185 is 5.

2. What are the Factors of 10180?

Answer: Factors of 10180 are 1, 2, 4, 5, 10, 20, 509, 1018, 2036, 2545, 5090, 10180. There are 12 integers that are factors of 10180. The greatest factor of 10180 is 10180.

3. What are the Factors of 10185?

Answer: Factors of 10185 are 1, 3, 5, 7, 15, 21, 35, 97, 105, 291, 485, 679, 1455, 2037, 3395, 10185. There are 16 integers that are factors of 10185. The greatest factor of 10185 is 10185.

4. How to Find the GCF of 10180 and 10185?

Answer:

Greatest Common Factor of 10180 and 10185 = 5

Step 1: Find the prime factorization of 10180

10180 = 2 x 2 x 5 x 509

Step 2: Find the prime factorization of 10185

10185 = 3 x 5 x 7 x 97

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 10180 and 10185 is 5