GCF for 12 and 40

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 12 and 40?

Answer

GCF of 12 and 40 is 4

(Four)

Finding GCF for 12 and 40 using all factors (divisors) listing

The first method to find GCF for numbers 12 and 40 is to list all factors for both numbers and pick the highest common one:

All factors of 12: 1, 2, 3, 4, 6, 12

All factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

So the Greatest Common Factor for 12 and 40 is 4

Finding GCF for 12 and 40 by Prime Factorization

The second method to find GCF for numbers 12 and 40 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 12: 2, 2, 3

All Prime Factors of 40: 2, 2, 2, 5

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

Now we need to multiply them to find GCF: 2 × 2 = 4

Related Calculations

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 12 and 40? (The answer is: 4). Select the first number (e.g. '12') and the second number (e.g. '40'). 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
1401
2402
3401
4404
5405
6402
7401
8408
9401
104010
11401
12404
13401
14402
15405
16408
17401
18402
19401
204020
21401
22402
23401
24408
25405
26402
27401
28404
29401
304010

FAQ

What is the Greatest Common Divisor of 12 and 40?

GCF of 12 and 40 is 4

How to find the GCF of 12 and 40?

You can find the GCF of 12 and 40 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 40 is 4.

See Also