GCF for 40 and 120

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 40 and 120?

Answer

GCF of 40 and 120 is 40

(Forty)

Finding GCF for 40 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 40 and 120 is to list all factors for both numbers and pick the highest common one:

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

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

So the Greatest Common Factor for 40 and 120 is 40

Finding GCF for 40 and 120 by Prime Factorization

The second method to find GCF for numbers 40 and 120 is to list all Prime Factors for both numbers and multiply the common ones:

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

All Prime Factors of 120: 2, 2, 2, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 2, 2, 5

Now we need to multiply them to find GCF: 2 × 2 × 2 × 5 = 40

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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 40 and 120? (The answer is: 40). Select the first number (e.g. '40') and the second number (e.g. '120'). 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 1 Number 2 GCF
25 120 5
26 120 2
27 120 3
28 120 4
29 120 1
30 120 30
31 120 1
32 120 8
33 120 3
34 120 2
35 120 5
36 120 12
37 120 1
38 120 2
39 120 3
40 120 40
41 120 1
42 120 6
43 120 1
44 120 4
45 120 15
46 120 2
47 120 1
48 120 24
49 120 1
50 120 10
51 120 3
52 120 4
53 120 1
54 120 6

FAQ

What is the Greatest Common Divisor of 40 and 120?
GCF of 40 and 120 is 40

How to find the GCF of 40 and 120?
You can find the GCF of 40 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 120 is 40.

See Also