GCF for 12 and 16

What is the Greatest Common Factor of 12 and 16?

Answer: GCF of 12 and 16 is 4

(Four)

Finding GCF for 12 and 16 using all factors (divisors) listing

The first method to find GCF for numbers 12 and 16 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 16: 1, 2, 4, 8, 16

So the Greatest Common Factor for 12 and 16 is 4

Finding GCF for 12 and 16 by Prime Factorization

The second method to find GCF for numbers 12 and 16 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 16: 2, 2, 2, 2

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

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

GCF Table

Number 1Number 2GCF
1161
2162
316
416
516
616
7161
816
916
1016
1116
1216
1316
1416
1516
161616
17161
18162
19161
20164
21161
22162
23161
2416
25161
26162
27161
28164
29161
30162

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 Factor of 12 and 16? (The answer is: 4). Select the first number (e.g. '12') and the second number (e.g. '16'). 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

FAQ

What is the Greatest Common Factor of 12 and 16?

GCF of 12 and 16 is 4