GCF for 105 and 140
What is the Greatest Common Divisor of 105 and 140?
Answer
(Thirty-five)
Finding GCF for 105 and 140 using all factors (divisors) listing
The first method to find GCF for numbers 105 and 140 is to list all factors for both numbers and pick the highest common one:
All factors of 105: 1, 3, 5, 7, 15, 21, 35, 105
All factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
So the Greatest Common Factor for 105 and 140 is 35
Finding GCF for 105 and 140 by Prime Factorization
The second method to find GCF for numbers 105 and 140 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 105: 3, 5, 7
All Prime Factors of 140: 2, 2, 5, 7
As we can see there are Prime Factors common to both numbers: 5, 7
Now we need to multiply them to find GCF: 5 × 7 = 35
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 |
|---|---|---|
| 90 | 140 | 10 |
| 91 | 140 | 7 |
| 92 | 140 | 4 |
| 93 | 140 | 1 |
| 94 | 140 | 2 |
| 95 | 140 | 5 |
| 96 | 140 | 4 |
| 97 | 140 | 1 |
| 98 | 140 | 14 |
| 99 | 140 | 1 |
| 100 | 140 | 20 |
| 101 | 140 | 1 |
| 102 | 140 | 2 |
| 103 | 140 | 1 |
| 104 | 140 | 4 |
| 105 | 140 | 35 |
| 106 | 140 | 2 |
| 107 | 140 | 1 |
| 108 | 140 | 4 |
| 109 | 140 | 1 |
| 110 | 140 | 10 |
| 111 | 140 | 1 |
| 112 | 140 | 28 |
| 113 | 140 | 1 |
| 114 | 140 | 2 |
| 115 | 140 | 5 |
| 116 | 140 | 4 |
| 117 | 140 | 1 |
| 118 | 140 | 2 |
| 119 | 140 | 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.