Greatest Common Factor of 81 and 87

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 81, 87 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 81 and 87 is 3.

GCF(81,87) = 3

GCF of 81 and 87

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

GCF of:
and

Greatest Common Factor of 81 and 87

GCF of 81 and 87 is 3

Prime Factorization of 81


3 81
3 27
3 9
3 3
1

Prime factors of 81 are 3. Prime factorization of 81 in exponential form is:

81 = 34

Prime Factorization of 87


3 87
29 29
1

Prime factors of 87 are 3.Prime factorization of 87 in exponential form is:

87 = 31×291

∴ So by taking common prime factors GCF of 81 and 87 is 3

Greatest Common Factor of 81 and 87 by matching factors method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Greatest Common Factor

We found the factors and prime factorization of 81 and 87. The biggest common factor number is the GCF number.
So the greatest common factor 81 and 87 is 3.

Also check out the Least Common Multiple of 81 and 87

Properties of GCF 81 and 87

(i) The GCF of 81 and 87 is associative

GCF of 81 and 87 = GCF of 87 and 81

Related Greatest Common Factor of 81

Related Greatest Common Factor of 87

Frequently Asked Questions on GCF of 81 and 87

1. What is the GCF of 81 and 87?

Answer: GCF of 81 and 87 is 3.

2. What are the Factors of 81?

Answer: Factors of 81 are 1, 3, 9, 27, 81. There are 5 integers that are factors of 81. The greatest factor of 81 is 81.

3. What are the Factors of 87?

Answer: Factors of 87 are 1, 3, 29, 87. There are 4 integers that are factors of 87. The greatest factor of 87 is 87.

4. How to Find the GCF of 81 and 87?

Answer:

Greatest Common Factor of 81 and 87 = 3

Step 1: Find the prime factorization of 81

81 = 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 87

87 = 3 x 29

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 81 and 87 is 3