GCF for 12 and 48

What is the Greatest common Divisor of 12 and 48?

Answer: GCF of 12 and 48 is 12

(Twelve)

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

The first method to find GCF for numbers 12 and 48 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 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

So the Greatest Common Factor for 12 and 48 is 12

Finding GCF for 12 and 48 by Prime Factorization

The second method to find GCF for numbers 12 and 48 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 48: 2, 2, 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 12 and 48? (The answer is: 12). Select the first number (e.g. '12') and the second number (e.g. '48'). 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
1481
2482
3483
448
5481
648
7481
848
948
10482
11481
1248
13481
1448
1548
1648
17481
1848
19481
2048
2148
2248
23481
2448
2548
2648
2748
2848
29481
3048

FAQ

What is the Greatest common Divisor of 12 and 48?

GCF of 12 and 48 is 12