GCF for 40 and 270

What is the Greatest common Divisor of 40 and 270?

Answer: GCF of 40 and 270 is 10

(Ten)

Finding GCF for 40 and 270 using all factors (divisors) listing

The first method to find GCF for numbers 40 and 270 is to list all factors for both numbers and pick the highest common one:

All factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

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 40 and 270 is 10

Finding GCF for 40 and 270 by Prime Factorization

The second method to find GCF for numbers 40 and 270 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 40: 2, 2, 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

Related Calculations

GCF Table

Number 1Number 2GCF
252705
262702
2727027
282702
292701
3027030
312701
322702
332703
342702
352705
3627018
372701
382702
392703
4027010
412701
422706
432701
442702
4527045
462702
472701
48270
492701
5027010
512703
522702
532701
5427054

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 40 and 270? (The answer is: 10). Select the first number (e.g. '40') 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 Divisor of 40 and 270?

GCF of 40 and 270 is 10