GCF for 36 and 132

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 36 and 132?

Answer: GCF of 36 and 132 is 12

(Twelve)

Finding GCF for 36 and 132 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 132 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 132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

So the Greatest Common Factor for 36 and 132 is 12

Finding GCF for 36 and 132 by Prime Factorization

The second method to find GCF for numbers 36 and 132 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 132: 2, 2, 3, 11

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

Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

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 132? (The answer is: 12). Select the first number (e.g. '36') and the second number (e.g. '132'). 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
211323
2213222
231321
2413212
251321
261322
271323
281324
291321
301326
311321
321324
3313233
341322
351321
3613212
371321
381322
391323
401324
411321
421326
431321
4413244
451323
461322
471321
4813212
491321
501322

FAQ

What is the Greatest common Divisor of 36 and 132?

GCF of 36 and 132 is 12

See Also