GCF for 10 and 270

What is the Greatest Common Factor of 10 and 270?

Answer: GCF of 10 and 270 is 10

(Ten)

Finding GCF for 10 and 270 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 270 is to list all factors for both numbers and pick the highest common one:

All factors of 10: 1, 2, 5, 10

All factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

So the Greatest Common Factor for 10 and 270 is 10

Finding GCF for 10 and 270 by Prime Factorization

The second method to find GCF for numbers 10 and 270 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 10: 2, 5

All Prime Factors of 270: 2, 3, 3, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 5

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
12701
22702
32703
42702
52705
62706
72701
82702
92709
1027010
112701
122706
132701
142702
1527015
162702
172701
1827018
192701
2027010
212703
222702
232701
242706
252705
262702
2727027
282702
292701
3027030

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 Factor of 10 and 270? (The answer is: 10). Select the first number (e.g. '10') and the second number (e.g. '270'). 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

FAQ

What is the Greatest Common Factor of 10 and 270?

GCF of 10 and 270 is 10