# Greatest Common Factor of 81 and 82

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 81, 82 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 81 and 82 is 1.

GCF(81,82) = 1

## GCF of 81 and 82

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

GCF of:
and

### Greatest Common Factor of 81 and 82 by Prime factorization method

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 82

 2 82 41 41 1

Prime factors of 82 are 2.Prime factorization of 82 in exponential form is:

82 = 21×411

∴ So by taking common prime factors GCF of 81 and 82 is 1

### Greatest Common Factor of 81 and 82 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors and prime factorization of 81 and 82. The biggest common factor number is the GCF number.
So the greatest common factor 81 and 82 is 1.

Also check out the Least Common Multiple of 81 and 82

### Properties of GCF 81 and 82

(i) The GCF of 81 and 82 is associative

GCF of 81 and 82 = GCF of 82 and 81

### Frequently Asked Questions on GCF of 81 and 82

1. What is the GCF of 81 and 82?

Answer: GCF of 81 and 82 is 1.

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 82?

Answer: Factors of 82 are 1, 2, 41, 82. There are 4 integers that are factors of 82. The greatest factor of 82 is 82.

4. How to Find the GCF of 81 and 82?

Answer:

Greatest Common Factor of 81 and 82 = 1

Step 1: Find the prime factorization of 81

81 = 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 82

82 = 2 x 41

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 81 and 82 is 1