GCF for 36 and 24

What is the Greatest common Divisor of 36 and 24?

Answer: GCF of 36 and 24 is 12

(Twelve)

Finding GCF for 36 and 24 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 24 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 24: 1, 2, 3, 4, 6, 8, 12, 24

So the Greatest Common Factor for 36 and 24 is 12

Finding GCF for 36 and 24 by Prime Factorization

The second method to find GCF for numbers 36 and 24 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 24: 2, 2, 2, 3

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 24? (The answer is: 12). Select the first number (e.g. '36') and the second number (e.g. '24'). 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
2124
2224
23241
242424
25241
26242
27243
28244
29241
30246
31241
32248
33243
34242
35241
3624
37241
38242
39243
40248
41241
42246
43241
44244
45243
46242
47241
482424
49241
50242

FAQ

What is the Greatest common Divisor of 36 and 24?

GCF of 36 and 24 is 12