Greatest Common Factor of 8181 and 8187

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 8181, 8187 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8181 and 8187 is 3.

GCF(8181,8187) = 3

GCF of 8181 and 8187

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

GCF of:
and

Greatest Common Factor of 8181 and 8187

GCF of 8181 and 8187 is 3

Prime Factorization of 8181


3 8181
3 2727
3 909
3 303
101 101
1

Prime factors of 8181 are 3,101. Prime factorization of 8181 in exponential form is:

8181 = 34×1011

Prime Factorization of 8187


3 8187
2729 2729
1

Prime factors of 8187 are 3,2729. Prime factorization of 8187 in exponential form is:

8187 = 31×27291

∴ So by taking common prime factors GCF of 8181 and 8187 is 3

Greatest Common Factor of 8181 and 8187 by matching factors method

Factors of 8181

List of positive integer factors of 8181 that divides 8181 without a remainder.

1,3,9,27,81,101,303,909,2727,8181

Factors of 8187

List of positive integer factors of 8187 that divides 8187 without a remainder.

1,3,2729,8187

Greatest Common Factor

We found the factors and prime factorization of 8181 and 8187. The biggest common factor number is the GCF number.
So the greatest common factor 8181 and 8187 is 3.

Also check out the Least Common Multiple of 8181 and 8187

Properties of GCF 8181 and 8187

(i) The GCF of 8181 and 8187 is associative

GCF of 8181 and 8187 = GCF of 8187 and 8181

Related Greatest Common Factor of 8181

Related Greatest Common Factor of 8187

Frequently Asked Questions on GCF of 8181 and 8187

1. What is the GCF of 8181 and 8187?

Answer: GCF of 8181 and 8187 is 3.

2. What are the Factors of 8181?

Answer: Factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181. There are 10 integers that are factors of 8181. The greatest factor of 8181 is 8181.

3. What are the Factors of 8187?

Answer: Factors of 8187 are 1, 3, 2729, 8187. There are 4 integers that are factors of 8187. The greatest factor of 8187 is 8187.

4. How to Find the GCF of 8181 and 8187?

Answer:

Greatest Common Factor of 8181 and 8187 = 3

Step 1: Find the prime factorization of 8181

8181 = 3 x 3 x 3 x 3 x 101

Step 2: Find the prime factorization of 8187

8187 = 3 x 2729

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8181 and 8187 is 3