GCF for 35 and 14
What is the Greatest Common Divisor of 35 and 14?
Answer
(Seven)
Finding GCF for 35 and 14 using all factors (divisors) listing
The first method to find GCF for numbers 35 and 14 is to list all factors for both numbers and pick the highest common one:
All factors of 35: 1, 5, 7, 35
All factors of 14: 1, 2, 7, 14
So the Greatest Common Factor for 35 and 14 is 7
Finding GCF for 35 and 14 by Prime Factorization
The second method to find GCF for numbers 35 and 14 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 35: 5, 7
All Prime Factors of 14: 2, 7
As we can see there is only one Prime Factor common to both numbers. It is 7
So 7 is the Greatest Common Factor of 35 and 14
Related Calculations
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 20 | 14 | 2 |
| 21 | 14 | 7 |
| 22 | 14 | 2 |
| 23 | 14 | 1 |
| 24 | 14 | 2 |
| 25 | 14 | 1 |
| 26 | 14 | 2 |
| 27 | 14 | 1 |
| 28 | 14 | 14 |
| 29 | 14 | 1 |
| 30 | 14 | 2 |
| 31 | 14 | 1 |
| 32 | 14 | 2 |
| 33 | 14 | 1 |
| 34 | 14 | 2 |
| 35 | 14 | 7 |
| 36 | 14 | 2 |
| 37 | 14 | 1 |
| 38 | 14 | 2 |
| 39 | 14 | 1 |
| 40 | 14 | 2 |
| 41 | 14 | 1 |
| 42 | 14 | 14 |
| 43 | 14 | 1 |
| 44 | 14 | 2 |
| 45 | 14 | 1 |
| 46 | 14 | 2 |
| 47 | 14 | 1 |
| 48 | 14 | 2 |
| 49 | 14 | 7 |
About "Greatest Common Factor" Calculator
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.