# What is the Greatest Common Factor of 17 and 31?

Greatest common factor (GCF) of 17 and 31 is 1.

GCF(17,31) = 1

We will now calculate the prime factors of 17 and 31, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17 and 31.

GCF Calculator and
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## How to find the GCF of 17 and 31?

We will first find the prime factorization of 17 and 31. After we will calculate the factors of 17 and 31 and find the biggest common factor number .

### Step-1: Prime Factorization of 17

Prime factors of 17 are 17. Prime factorization of 17 in exponential form is:

17 = 171

### Step-2: Prime Factorization of 31

Prime factors of 31 are 31. Prime factorization of 31 in exponential form is:

31 = 311

### Step-3: Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1

### Step-4: Factors of 31

List of positive integer factors of 31 that divides 17 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17 and 31. The biggest common factor number is the GCF number.
So the greatest common factor 17 and 31 is 1.

Also check out the Least Common Multiple of 17 and 31

#### Related Greatest Common Factors of 31

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