GCF for 36 and 216

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 36 and 216?

Answer: GCF of 36 and 216 is 36

(Thirty-six)

Finding GCF for 36 and 216 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 216 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 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

So the Greatest Common Factor for 36 and 216 is 36

Finding GCF for 36 and 216 by Prime Factorization

The second method to find GCF for numbers 36 and 216 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 216: 2, 2, 2, 3, 3, 3

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

Now we need to multiply them to find GCF: 2 × 2 × 3 × 3 = 36

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 216? (The answer is: 36). Select the first number (e.g. '36') and the second number (e.g. '216'). 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
212163
222162
232161
2421624
252161
262162
2721627
282164
292161
302166
312161
322168
332163
342162
352161
3621636
372161
382162
392163
402168
412161
422166
432161
442164
452169
462162
472161
4821624
492161
502162

FAQ

What is the Greatest common Divisor of 36 and 216?

GCF of 36 and 216 is 36

See Also