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GCF for 16 and 32

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 16 and 32?

Answer

GCF of 16 and 32 is 16

(Sixteen)

Finding GCF for 16 and 32 using all factors (divisors) listing

The first method to find GCF for numbers 16 and 32 is to list all factors for both numbers and pick the highest common one:

All factors of 16: 1, 2, 4, 8, 16

All factors of 32: 1, 2, 4, 8, 16, 32

So the Greatest Common Factor for 16 and 32 is 16

Finding GCF for 16 and 32 by Prime Factorization

The second method to find GCF for numbers 16 and 32 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 16: 2, 2, 2, 2

All Prime Factors of 32: 2, 2, 2, 2, 2

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 = 16

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What is the GCF of 16 and 32. Find the GCF (GCD) of 16 and 32 - the biggest number that can divide two integers.
https://calculat.io/en/number/greatest-common-factor-of/16--32/generated.jpgCopy

GCF Table

Number 1 Number 2 GCF
1 32 1
2 32 2
3 32 1
4 32 4
5 32 1
6 32 2
7 32 1
8 32 8
9 32 1
10 32 2
11 32 1
12 32 4
13 32 1
14 32 2
15 32 1
16 32 16
17 32 1
18 32 2
19 32 1
20 32 4
21 32 1
22 32 2
23 32 1
24 32 8
25 32 1
26 32 2
27 32 1
28 32 4
29 32 1
30 32 2

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 16 and 32? (The answer is: 16). Select the first number (e.g. '16') and the second number (e.g. '32'). 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

FAQ

What is the Greatest Common Divisor of 16 and 32?
GCF of 16 and 32 is 16

How to find the GCF of 16 and 32?
You can find the GCF of 16 and 32 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 16 and 32 is 16.

See Also