GCF for 36 and 225

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 36 and 225?

Answer: GCF of 36 and 225 is 9

(Nine)

Finding GCF for 36 and 225 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 225 is to list all factors for both numbers and pick the highest common one:

All factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

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

So the Greatest Common Factor for 36 and 225 is 9

Finding GCF for 36 and 225 by Prime Factorization

The second method to find GCF for numbers 36 and 225 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 36: 2, 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

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 36 and 225? (The answer is: 9). Select the first number (e.g. '36') 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
212253
222251
232251
242253
2522525
262251
272259
282251
292251
3022515
312251
322251
332253
342251
352255
362259
372251
382251
392253
402255
412251
422253
432251
442251
4522545
462251
472251
482253
492251
5022525

FAQ

What is the Greatest common Divisor of 36 and 225?

GCF of 36 and 225 is 9

See Also