GCF for 330 and 360

What is the Greatest common Divisor of 330 and 360?

Answer: GCF of 330 and 360 is 30

(Thirty)

Finding GCF for 330 and 360 using all factors (divisors) listing

The first method to find GCF for numbers 330 and 360 is to list all factors for both numbers and pick the highest common one:

All factors of 330: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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 330 and 360 is 30

Finding GCF for 330 and 360 by Prime Factorization

The second method to find GCF for numbers 330 and 360 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 330: 2, 3, 5, 11

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, 5

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

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 330 and 360? (The answer is: 30). Select the first number (e.g. '330') 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

GCF Table

Number 1Number 2GCF
31536045
3163604
3173601
3183606
3193601
32036040
3213603
3223602
3233601
32436036
3253605
3263602
3273603
3283608
3293601
330360
3313601
3323604
3333609
3343602
3353605
33636024
3373601
3383602
3393603
34036020
3413601
34236018
3433601
3443608

FAQ

What is the Greatest common Divisor of 330 and 360?

GCF of 330 and 360 is 30