GCF for 120 and 216

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 120 and 216?

Answer: GCF of 120 and 216 is 24

(Twenty-four)

Finding GCF for 120 and 216 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 216 is to list all factors for both numbers and pick the highest common one:

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

All factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

So the Greatest Common Factor for 120 and 216 is 24

Finding GCF for 120 and 216 by Prime Factorization

The second method to find GCF for numbers 120 and 216 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 120: 2, 2, 2, 3, 5

All Prime Factors of 216: 2, 2, 2, 3, 3, 3

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 = 24

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 120 and 216? (The answer is: 24). Select the first number (e.g. '120') and the second number (e.g. '216'). 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
1052163
1062162
1072161
108216108
1092161
1102162
1112163
1122168
1132161
1142166
1152161
1162164
1172169
1182162
1192161
12021624
1212161
1222162
1232163
1242164
1252161
12621618
1272161
1282168
1292163
1302162
1312161
13221612
1332161
1342162

FAQ

What is the Greatest common Divisor of 120 and 216?

GCF of 120 and 216 is 24

See Also