GCF for 270 and 360

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 270 and 360?

Answer

GCF of 270 and 360 is 90

(Ninety)

Finding GCF for 270 and 360 using all factors (divisors) listing

The first method to find GCF for numbers 270 and 360 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 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

So the Greatest Common Factor for 270 and 360 is 90

Finding GCF for 270 and 360 by Prime Factorization

The second method to find GCF for numbers 270 and 360 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 360: 2, 2, 2, 3, 3, 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

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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 360? (The answer is: 90). Select the first number (e.g. '270') and the second number (e.g. '360'). 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.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
25536015
2563608
2573601
2583606
2593601
26036020
2613609
2623602
2633601
26436024
2653605
2663602
2673603
2683604
2693601
27036090
2713601
2723608
2733603
2743602
2753605
27636012
2773601
2783602
2793609
28036040
2813601
2823606
2833601
2843604

FAQ

What is the Greatest Common Divisor of 270 and 360?

GCF of 270 and 360 is 90

How to find the GCF of 270 and 360?

You can find the GCF of 270 and 360 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 270 and 360 is 90.

See Also