# What is the Greatest Common Factor of 34 and 52?

Greatest common factor (GCF) of 34 and 52 is 2.

GCF(34,52) = 2

We will now calculate the prime factors of 34 and 52, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34 and 52.

GCF Calculator and
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## How to find the GCF of 34 and 52?

We will first find the prime factorization of 34 and 52. After we will calculate the factors of 34 and 52 and find the biggest common factor number .

### Step-1: Prime Factorization of 34

Prime factors of 34 are 2, 17. Prime factorization of 34 in exponential form is:

34 = 21 × 171

### Step-2: Prime Factorization of 52

Prime factors of 52 are 2, 13. Prime factorization of 52 in exponential form is:

52 = 22 × 131

### Step-3: Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1, 2, 17

### Step-4: Factors of 52

List of positive integer factors of 52 that divides 34 without a remainder.

1, 2, 4, 13, 26

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34 and 52. The biggest common factor number is the GCF number.
So the greatest common factor 34 and 52 is 2.

Also check out the Least Common Multiple of 34 and 52