# what is the GCF of 13 and 26?

Greatest Common Factor is the greatest number that is a factor of two or more other numbers.

## Answer: GCF of 13 and 26 is 13

The GCF (greatest common factor) is the same as HCF (Highest Common Factor), GCD (Greatest Common Divisor), HCD (Highest Common Divisor), GCM (Greatest Common Measure), HCM (Highest Common Measure).LEt us see how to find the gcf of 13 and 26.

## Methods to find GCF of 13 and 26

### GCF of 13 and 26 by Prime Factorization

GCF is the product of the factors that are common to each of the given numbers.

Prime factorization of 13 is 13

Prime factorization of 26 is 2 × 13

The occurrences of common prime factors of 13 and 26 is 13

Hence GCF(13, 26) = 13

### GCF of 13 and 26 by Long Division

- Step 1: Divide the larger number by the smaller
- Step 2: Divide the dividend by the remainder obtained in step 1 and repeat this step until we get the remainder as 0
- Step 3: The last dividend is the GCF of the two numbers

We take the larger value 26 as dividend and smaller value 13 as divisor

We will get the GCF same for the given numbers by using different methods.