GCF for 36 and 126

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 36 and 126?

Answer: GCF of 36 and 126 is 18

(Eighteen)

Finding GCF for 36 and 126 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 126 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 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

So the Greatest Common Factor for 36 and 126 is 18

Finding GCF for 36 and 126 by Prime Factorization

The second method to find GCF for numbers 36 and 126 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 126: 2, 3, 3, 7

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

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 126? (The answer is: 18). Select the first number (e.g. '36') and the second number (e.g. '126'). 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
2112621
221262
231261
241266
251261
261262
271269
2812614
291261
301266
311261
321262
331263
341262
351267
3612618
371261
381262
391263
401262
411261
4212642
431261
441262
451269
461262
471261
481266
491267
501262

FAQ

What is the Greatest common Divisor of 36 and 126?

GCF of 36 and 126 is 18

See Also