GCF for 270 and 450

What is the Greatest common Divisor of 270 and 450?

Answer: GCF of 270 and 450 is 90

(Ninety)

Finding GCF for 270 and 450 using all factors (divisors) listing

The first method to find GCF for numbers 270 and 450 is to list all factors for both numbers and pick the highest common one:

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

All factors of 450: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

So the Greatest Common Factor for 270 and 450 is 90

Finding GCF for 270 and 450 by Prime Factorization

The second method to find GCF for numbers 270 and 450 is to list all Prime Factors for both numbers and multiply the common ones:

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

All Prime Factors of 450: 2, 3, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 3, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 3 × 5 = 90

See Also

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 270 and 450? (The answer is: 90). Select the first number (e.g. '270') and the second number (e.g. '450'). 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

GCF Table

Number 1Number 2GCF
25545015
2564502
2574501
2584506
2594501
26045010
2614509
2624502
2634501
2644506
2654505
2664502
2674503
2684502
2694501
270450
2714501
2724502
2734503
2744502
27545025
2764506
2774501
2784502
2794509
28045010
2814501
2824506
2834501
2844502

FAQ

What is the Greatest common Divisor of 270 and 450?

GCF of 270 and 450 is 90