# Greatest Common Factor of 14 and 26

Greatest common factor (GCF) of 14 and 26 is **2**.

GCF(14,26) = 2

We will now calculate the prime factors of **14 and 26**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 14 and 26.

## Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of **14** in exponential form is:

14 = 2^{1} × 7^{1}

## Prime Factorization of 26

Prime factors of 26 are 2, 13. Prime factorization of **26** in exponential form is:

26 = 2^{1} × 13^{1}

### Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1, 2, 7

### Factors of 26

List of positive integer factors of 26 that divides 14 without a remainder.

1, 2, 13

### Greatest Common Factor

We found the factors and prime factorization of 14 and 26. The biggest common factor number is the **GCF** number.

So the **greatest common factor 14 and 26** is **2**.

Also check out the Least Common Multiple of 14 and 26

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