GCF for 36 and 144

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 36 and 144?

Answer: GCF of 36 and 144 is 36

(Thirty-six)

Finding GCF for 36 and 144 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 144 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 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

So the Greatest Common Factor for 36 and 144 is 36

Finding GCF for 36 and 144 by Prime Factorization

The second method to find GCF for numbers 36 and 144 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 144: 2, 2, 2, 2, 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 144? (The answer is: 36). Select the first number (e.g. '36') and the second number (e.g. '144'). 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
211443
221442
231441
2414424
251441
261442
271449
281444
291441
301446
311441
3214416
331443
341442
351441
3614436
371441
381442
391443
401448
411441
421446
431441
441444
451449
461442
471441
4814448
491441
501442

FAQ

What is the Greatest common Divisor of 36 and 144?

GCF of 36 and 144 is 36

See Also