# Greatest Common Factor of 128 and 131

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 128, 131 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 128 and 131 is 1.

GCF(128,131) = 1

## GCF of 128 and 131

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

GCF of:
and

### Greatest Common Factor of 128 and 131 by Prime factorization method

Prime Factorization of 128

 2 128 2 64 2 32 2 16 2 8 2 4 2 2 1

Prime factors of 128 are 2. Prime factorization of 128 in exponential form is:

128 = 27

Prime Factorization of 131

 131 131 1

Prime factors of 131 are 131.Prime factorization of 131 in exponential form is:

131 = 1311

∴ So by taking common prime factors GCF of 128 and 131 is 1

### Greatest Common Factor of 128 and 131 by matching factors method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors and prime factorization of 128 and 131. The biggest common factor number is the GCF number.
So the greatest common factor 128 and 131 is 1.

Also check out the Least Common Multiple of 128 and 131

### Properties of GCF 128 and 131

(i) The GCF of 128 and 131 is associative

GCF of 128 and 131 = GCF of 131 and 128

### Frequently Asked Questions on GCF of 128 and 131

1. What is the GCF of 128 and 131?

Answer: GCF of 128 and 131 is 1.

2. What are the Factors of 128?

Answer: Factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128. There are 8 integers that are factors of 128. The greatest factor of 128 is 128.

3. What are the Factors of 131?

Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.

4. How to Find the GCF of 128 and 131?

Greatest Common Factor of 128 and 131 = 1

Step 1: Find the prime factorization of 128

128 = 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 131

131 = 131

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 128 and 131 is 1