# GCF for 26 and 52

"Greatest Common Factor" Calculator

## What is the Greatest common Divisor of 26 and 52?

**Answer:**GCF of

**26 and 52**is

**26**

(Twenty-six)

## Finding GCF for 26 and 52 using all factors (divisors) listing

The first method to find GCF for numbers 26 and 52 is to list all factors for both numbers and pick the highest common one:

All factors of 26: 1, 2, 13, **26**

All factors of 52: 1, 2, 4, 13, **26**, 52

So the Greatest Common Factor for 26 and 52 is **26**

## Finding GCF for 26 and 52 by Prime Factorization

The second method to find GCF for numbers 26 and 52 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 26: 2, 13

All Prime Factors of 52: 2, 2, 13

As we can see there are Prime Factors common to both numbers: **2, 13**

Now we need to multiply them to find GCF: **2 × 13 = 26**

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## GCF Table

## About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 26 and 52? (The answer is:

**26**). Select the first number (e.g. '26') and the second number (e.g. '52'). After that hit the 'Calculate' button.Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder