GCF of 144 and 1000 (Greatest Common Factor)
"Greatest Common Factor" Calculator
What is the Greatest Common Divisor of 144 and 1000?
Answer
GCF of 144 and 1000 is
8
(Eight)
Finding GCF for 144 and 1000 using all factors (divisors) listing
The first method to find GCF for numbers 144 and 1000 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 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
So the Greatest Common Factor for 144 and 1000 is 8
Finding GCF for 144 and 1000 by Prime Factorization
The second method to find GCF for numbers 144 and 1000 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 1000: 2, 2, 2, 5, 5, 5
As we can see there are Prime Factors common to both numbers: 2, 2, 2
Now we need to multiply them to find GCF: 2 × 2 × 2 = 8
Found an error in the calculation or the information?
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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 |
|---|---|---|
| 144 | 985 | 1 |
| 144 | 986 | 2 |
| 144 | 987 | 3 |
| 144 | 988 | 4 |
| 144 | 989 | 1 |
| 144 | 990 | 18 |
| 144 | 991 | 1 |
| 144 | 992 | 16 |
| 144 | 993 | 3 |
| 144 | 994 | 2 |
| 144 | 995 | 1 |
| 144 | 996 | 12 |
| 144 | 997 | 1 |
| 144 | 998 | 2 |
| 144 | 999 | 9 |
| 144 | 1000 | 8 |
| 144 | 1001 | 1 |
| 144 | 1002 | 6 |
| 144 | 1003 | 1 |
| 144 | 1004 | 4 |
| 144 | 1005 | 3 |
| 144 | 1006 | 2 |
| 144 | 1007 | 1 |
| 144 | 1008 | 144 |
| 144 | 1009 | 1 |
| 144 | 1010 | 2 |
| 144 | 1011 | 3 |
| 144 | 1012 | 4 |
| 144 | 1013 | 1 |
| 144 | 1014 | 6 |
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 1000? (The answer is: 8). Select the first number (e.g. '144') and the second number (e.g. '1000'). 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.
"Greatest Common Factor" Calculator