GCF for 12 and 30

What is the Greatest common Divisor of 12 and 30?

Answer: GCF of 12 and 30 is 6

(Six)

Finding GCF for 12 and 30 using all factors (divisors) listing

The first method to find GCF for numbers 12 and 30 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 30: 1, 2, 3, 5, 6, 10, 15, 30

So the Greatest Common Factor for 12 and 30 is 6

Finding GCF for 12 and 30 by Prime Factorization

The second method to find GCF for numbers 12 and 30 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 30: 2, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 3

Now we need to multiply them to find GCF: 2 × 3 = 6

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 30? (The answer is: 6). Select the first number (e.g. '12') and the second number (e.g. '30'). 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
1301
2302
330
4302
530
630
730
830
930
1030
11301
1230
1330
1430
1530
1630
17301
1830
19301
2030
2130
2230
23301
2430
2530
26302
2730
2830
29301
303030

FAQ

What is the Greatest common Divisor of 12 and 30?

GCF of 12 and 30 is 6