GCF for 12 and 120

What is the Greatest common Divisor of 12 and 120?

Answer: GCF of 12 and 120 is 12

(Twelve)

Finding GCF for 12 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 12 and 120 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 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

So the Greatest Common Factor for 12 and 120 is 12

Finding GCF for 12 and 120 by Prime Factorization

The second method to find GCF for numbers 12 and 120 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 120: 2, 2, 2, 3, 5

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 120? (The answer is: 12). Select the first number (e.g. '12') and the second number (e.g. '120'). 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
11201
21202
31203
41204
51205
61206
71201
81208
91203
1012010
111201
12120
131201
141202
1512015
161208
171201
181206
191201
2012020
211203
221202
231201
2412024
251205
261202
271203
281204
291201
30120

FAQ

What is the Greatest common Divisor of 12 and 120?

GCF of 12 and 120 is 12