# What is the Greatest Common Factor of 58 and 78?

Greatest common factor (GCF) of 58 and 78 is 2.

GCF(58,78) = 2

We will now calculate the prime factors of 58 and 78, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58 and 78.

GCF Calculator and
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## How to find the GCF of 58 and 78?

We will first find the prime factorization of 58 and 78. After we will calculate the factors of 58 and 78 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 78

Prime factors of 78 are 2, 3, 13. Prime factorization of 78 in exponential form is:

78 = 21 × 31 × 131

### 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 78

List of positive integer factors of 78 that divides 58 without a remainder.

1, 2, 3, 6, 13, 26, 39

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58 and 78. The biggest common factor number is the GCF number.
So the greatest common factor 58 and 78 is 2.

Also check out the Least Common Multiple of 58 and 78