GCF for 145 and 174
"Greatest Common Factor" Calculator
What is the Greatest common Divisor of 145 and 174?
Answer: GCF of 145 and 174 is 29
(Twenty-nine)
Finding GCF for 145 and 174 using all factors (divisors) listing
The first method to find GCF for numbers 145 and 174 is to list all factors for both numbers and pick the highest common one:
All factors of 145: 1, 5, 29, 145
All factors of 174: 1, 2, 3, 6, 29, 58, 87, 174
So the Greatest Common Factor for 145 and 174 is 29
Finding GCF for 145 and 174 by Prime Factorization
The second method to find GCF for numbers 145 and 174 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 145: 5, 29
All Prime Factors of 174: 2, 3, 29
As we can see there is only one Prime Factor common to both numbers. It is 29
So 29 is the Greatest Common Factor of 145 and 174
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 130 | 174 | 2 |
| 131 | 174 | 1 |
| 132 | 174 | 6 |
| 133 | 174 | 1 |
| 134 | 174 | 2 |
| 135 | 174 | 3 |
| 136 | 174 | 2 |
| 137 | 174 | 1 |
| 138 | 174 | 6 |
| 139 | 174 | 1 |
| 140 | 174 | 2 |
| 141 | 174 | 3 |
| 142 | 174 | 2 |
| 143 | 174 | 1 |
| 144 | 174 | 6 |
| 145 | 174 | 29 |
| 146 | 174 | 2 |
| 147 | 174 | 3 |
| 148 | 174 | 2 |
| 149 | 174 | 1 |
| 150 | 174 | 6 |
| 151 | 174 | 1 |
| 152 | 174 | 2 |
| 153 | 174 | 3 |
| 154 | 174 | 2 |
| 155 | 174 | 1 |
| 156 | 174 | 6 |
| 157 | 174 | 1 |
| 158 | 174 | 2 |
| 159 | 174 | 3 |
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 145 and 174? (The answer is: 29). Select the first number (e.g. '145') and the second number (e.g. '174'). 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