Greatest Common Factor of 8185 and 8190

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 8185, 8190 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8185 and 8190 is 5.

GCF(8185,8190) = 5

GCF of 8185 and 8190

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

GCF of:
and

Greatest Common Factor of 8185 and 8190

GCF of 8185 and 8190 is 5

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

Prime Factorization of 8190


2 8190
3 4095
3 1365
5 455
7 91
13 13
1

Prime factors of 8190 are 2,3,5,7,13. Prime factorization of 8190 in exponential form is:

8190 = 21×32×51×71×131

∴ So by taking common prime factors GCF of 8185 and 8190 is 5

Greatest Common Factor of 8185 and 8190 by matching factors method

Factors of 8185

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

1,5,1637,8185

Factors of 8190

List of positive integer factors of 8190 that divides 8190 without a remainder.

1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190

Greatest Common Factor

We found the factors and prime factorization of 8185 and 8190. The biggest common factor number is the GCF number.
So the greatest common factor 8185 and 8190 is 5.

Also check out the Least Common Multiple of 8185 and 8190

Properties of GCF 8185 and 8190

(i) The GCF of 8185 and 8190 is associative

GCF of 8185 and 8190 = GCF of 8190 and 8185

Related Greatest Common Factor of 8185

Related Greatest Common Factor of 8190

Frequently Asked Questions on GCF of 8185 and 8190

1. What is the GCF of 8185 and 8190?

Answer: GCF of 8185 and 8190 is 5.

2. 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.

3. What are the Factors of 8190?

Answer: Factors of 8190 are 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190. There are 48 integers that are factors of 8190. The greatest factor of 8190 is 8190.

4. How to Find the GCF of 8185 and 8190?

Answer:

Greatest Common Factor of 8185 and 8190 = 5

Step 1: Find the prime factorization of 8185

8185 = 5 x 1637

Step 2: Find the prime factorization of 8190

8190 = 2 x 3 x 3 x 5 x 7 x 13

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 8185 and 8190 is 5