# Greatest Common Factor of 2 and 18

Greatest common factor (GCF) of 2 and 18 is **2**.

GCF(2,18) = 2

We will now calculate the prime factors of **2 and 18**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 2 and 18.

## Prime Factorization of 2

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

2 = 2^{1}

## Prime Factorization of 18

Prime factors of 18 are 2, 3. Prime factorization of **18** in exponential form is:

18 = 2^{1} × 3^{2}

### Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1

### Factors of 18

List of positive integer factors of 18 that divides 2 without a remainder.

1, 2, 3, 6, 9

### Greatest Common Factor

We found the factors and prime factorization of 2 and 18. The biggest common factor number is the **GCF** number.

So the **greatest common factor 2 and 18** is **2**.

Also check out the Least Common Multiple of 2 and 18

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