# What is the Greatest Common Factor of 58 and 71?

Greatest common factor (GCF) of 58 and 71 is 1.

GCF(58,71) = 1

We will now calculate the prime factors of 58 and 71, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58 and 71.

GCF Calculator and
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## How to find the GCF of 58 and 71?

We will first find the prime factorization of 58 and 71. After we will calculate the factors of 58 and 71 and find the biggest common factor number .

### Step-1: Prime Factorization of 58

Prime factors of 58 are 2, 29. Prime factorization of 58 in exponential form is:

58 = 21 × 291

### Step-2: Prime Factorization of 71

Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:

71 = 711

### Step-3: Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1, 2, 29

### Step-4: Factors of 71

List of positive integer factors of 71 that divides 58 without a remainder.

1

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58 and 71. The biggest common factor number is the GCF number.
So the greatest common factor 58 and 71 is 1.

Also check out the Least Common Multiple of 58 and 71