GCF for 48 and 12

What is the Greatest common Divisor of 48 and 12?

Answer: GCF of 48 and 12 is 12

(Twelve)

Finding GCF for 48 and 12 using all factors (divisors) listing

The first method to find GCF for numbers 48 and 12 is to list all factors for both numbers and pick the highest common one:

All factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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

So the Greatest Common Factor for 48 and 12 is 12

Finding GCF for 48 and 12 by Prime Factorization

The second method to find GCF for numbers 48 and 12 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 48: 2, 2, 2, 2, 3

All Prime Factors of 12: 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 48 and 12? (The answer is: 12). Select the first number (e.g. '48') and the second number (e.g. '12'). 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
33123
34122
35121
361212
37121
38122
39123
40124
41121
42126
43121
44124
45123
46122
47121
4812
49121
50122
51123
52124
53121
54126
55121
56124
57123
58122
59121
601212
61121
62122

FAQ

What is the Greatest common Divisor of 48 and 12?

GCF of 48 and 12 is 12