GCF for 18 and 225

What is the Greatest common Divisor of 18 and 225?

Answer: GCF of 18 and 225 is 9

(Nine)

Finding GCF for 18 and 225 using all factors (divisors) listing

The first method to find GCF for numbers 18 and 225 is to list all factors for both numbers and pick the highest common one:

All factors of 18: 1, 2, 3, 6, 9, 18

All factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225

So the Greatest Common Factor for 18 and 225 is 9

Finding GCF for 18 and 225 by Prime Factorization

The second method to find GCF for numbers 18 and 225 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 18: 2, 3, 3

All Prime Factors of 225: 3, 3, 5, 5

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

Now we need to multiply them to find GCF: 3 × 3 = 9

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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 18 and 225? (The answer is: 9). Select the first number (e.g. '18') and the second number (e.g. '225'). 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
32253
42251
52255
62253
72251
82251
92259
102255
112251
122253
132251
142251
1522515
162251
172251
18225
192251
202255
212253
222251
232251
242253
2522525
262251
272259
282251
292251
3022515
312251
322251

FAQ

What is the Greatest common Divisor of 18 and 225?

GCF of 18 and 225 is 9