GCF for 36 and 162

What is the Greatest common Divisor of 36 and 162?

Answer: GCF of 36 and 162 is 18

(Eighteen)

Finding GCF for 36 and 162 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 162 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 162: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

So the Greatest Common Factor for 36 and 162 is 18

Finding GCF for 36 and 162 by Prime Factorization

The second method to find GCF for numbers 36 and 162 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 162: 2, 3, 3, 3, 3

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

Now we need to multiply them to find GCF: 2 × 3 × 3 = 18

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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 36 and 162? (The answer is: 18). Select the first number (e.g. '36') and the second number (e.g. '162'). 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
211623
221622
231621
241626
251621
261622
2716227
281622
291621
301626
311621
321622
331623
341622
351621
36162
371621
381622
391623
401622
411621
421626
431621
441622
451629
461622
471621
481626
491621
501622

FAQ

What is the Greatest common Divisor of 36 and 162?

GCF of 36 and 162 is 18