GCF for 30 and 420
What is the Greatest Common Divisor of 30 and 420?
Answer
(Thirty)
Finding GCF for 30 and 420 using all factors (divisors) listing
The first method to find GCF for numbers 30 and 420 is to list all factors for both numbers and pick the highest common one:
All factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
All factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
So the Greatest Common Factor for 30 and 420 is 30
Finding GCF for 30 and 420 by Prime Factorization
The second method to find GCF for numbers 30 and 420 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 30: 2, 3, 5
All Prime Factors of 420: 2, 2, 3, 5, 7
As we can see there are Prime Factors common to both numbers: 2, 3, 5
Now we need to multiply them to find GCF: 2 × 3 × 5 = 30
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 |
|---|---|---|
| 15 | 420 | 15 |
| 16 | 420 | 4 |
| 17 | 420 | 1 |
| 18 | 420 | 6 |
| 19 | 420 | 1 |
| 20 | 420 | 20 |
| 21 | 420 | 21 |
| 22 | 420 | 2 |
| 23 | 420 | 1 |
| 24 | 420 | 12 |
| 25 | 420 | 5 |
| 26 | 420 | 2 |
| 27 | 420 | 3 |
| 28 | 420 | 28 |
| 29 | 420 | 1 |
| 30 | 420 | 30 |
| 31 | 420 | 1 |
| 32 | 420 | 4 |
| 33 | 420 | 3 |
| 34 | 420 | 2 |
| 35 | 420 | 35 |
| 36 | 420 | 12 |
| 37 | 420 | 1 |
| 38 | 420 | 2 |
| 39 | 420 | 3 |
| 40 | 420 | 20 |
| 41 | 420 | 1 |
| 42 | 420 | 42 |
| 43 | 420 | 1 |
| 44 | 420 | 4 |
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.