# What is the Greatest Common Factor of 30 and 44?

Greatest common factor (GCF) of 30 and 44 is **2**.

GCF(30,44) = 2

We will now calculate the prime factors of **30 and 44**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 30 and 44.

## How to find the GCF of 30 and 44?

We will first find the prime factorization of 30 and 44. After we will calculate the factors of 30 and 44 and find the biggest common factor number .

### Step-1: Prime Factorization of 30

Prime factors of 30 are 2, 3, 5. Prime factorization of **30** in exponential form is:

30 = 2^{1} × 3^{1} × 5^{1}

### Step-2: Prime Factorization of 44

Prime factors of 44 are 2, 11. Prime factorization of **44** in exponential form is:

44 = 2^{2} × 11^{1}

### Step-3: Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15

### Step-4: Factors of 44

List of positive integer factors of 44 that divides 30 without a remainder.

1, 2, 4, 11, 22

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30 and 44. The biggest common factor number is the **GCF** number.

So the **greatest common factor 30 and 44** is **2**.

Also check out the Least Common Multiple of 30 and 44