Greatest Common Factor of 8180 and 8185

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 8180, 8185 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8180 and 8185 is 5.

GCF(8180,8185) = 5

GCF of 8180 and 8185

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

GCF of:
and

Greatest Common Factor of 8180 and 8185

GCF of 8180 and 8185 is 5

Prime Factorization of 8180


2 8180
2 4090
5 2045
409 409
1

Prime factors of 8180 are 2,5,409. Prime factorization of 8180 in exponential form is:

8180 = 22×51×4091

Prime Factorization of 8185


5 8185
1637 1637
1

Prime factors of 8185 are 5,1637. Prime factorization of 8185 in exponential form is:

8185 = 51×16371

∴ So by taking common prime factors GCF of 8180 and 8185 is 5

Greatest Common Factor of 8180 and 8185 by matching factors method

Factors of 8180

List of positive integer factors of 8180 that divides 8180 without a remainder.

1,2,4,5,10,20,409,818,1636,2045,4090,8180

Factors of 8185

List of positive integer factors of 8185 that divides 8185 without a remainder.

1,5,1637,8185

Greatest Common Factor

We found the factors and prime factorization of 8180 and 8185. The biggest common factor number is the GCF number.
So the greatest common factor 8180 and 8185 is 5.

Also check out the Least Common Multiple of 8180 and 8185

Properties of GCF 8180 and 8185

(i) The GCF of 8180 and 8185 is associative

GCF of 8180 and 8185 = GCF of 8185 and 8180

Related Greatest Common Factor of 8180

Related Greatest Common Factor of 8185

Frequently Asked Questions on GCF of 8180 and 8185

1. What is the GCF of 8180 and 8185?

Answer: GCF of 8180 and 8185 is 5.

2. What are the Factors of 8180?

Answer: Factors of 8180 are 1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180. There are 12 integers that are factors of 8180. The greatest factor of 8180 is 8180.

3. What are the Factors of 8185?

Answer: Factors of 8185 are 1, 5, 1637, 8185. There are 4 integers that are factors of 8185. The greatest factor of 8185 is 8185.

4. How to Find the GCF of 8180 and 8185?

Answer:

Greatest Common Factor of 8180 and 8185 = 5

Step 1: Find the prime factorization of 8180

8180 = 2 x 2 x 5 x 409

Step 2: Find the prime factorization of 8185

8185 = 5 x 1637

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 8180 and 8185 is 5