GCF for 144 and 216
"Greatest Common Factor" Calculator
What is the Greatest common Divisor of 144 and 216?
Answer: GCF of 144 and 216 is 72
(Seventy-two)
Finding GCF for 144 and 216 using all factors (divisors) listing
The first method to find GCF for numbers 144 and 216 is to list all factors for both numbers and pick the highest common one:
All factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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 144 and 216 is 72
Finding GCF for 144 and 216 by Prime Factorization
The second method to find GCF for numbers 144 and 216 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 144: 2, 2, 2, 2, 3, 3
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, 3
Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 × 3 = 72
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 129 | 216 | 3 |
| 130 | 216 | 2 |
| 131 | 216 | 1 |
| 132 | 216 | 12 |
| 133 | 216 | 1 |
| 134 | 216 | 2 |
| 135 | 216 | 27 |
| 136 | 216 | 8 |
| 137 | 216 | 1 |
| 138 | 216 | 6 |
| 139 | 216 | 1 |
| 140 | 216 | 4 |
| 141 | 216 | 3 |
| 142 | 216 | 2 |
| 143 | 216 | 1 |
| 144 | 216 | 72 |
| 145 | 216 | 1 |
| 146 | 216 | 2 |
| 147 | 216 | 3 |
| 148 | 216 | 4 |
| 149 | 216 | 1 |
| 150 | 216 | 6 |
| 151 | 216 | 1 |
| 152 | 216 | 8 |
| 153 | 216 | 9 |
| 154 | 216 | 2 |
| 155 | 216 | 1 |
| 156 | 216 | 12 |
| 157 | 216 | 1 |
| 158 | 216 | 2 |
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 144 and 216? (The answer is: 72). Select the first number (e.g. '144') 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