GCF of 400 and 1080 (Greatest Common Factor)
What is the Greatest Common Divisor of 400 and 1,080?
Answer
(Forty)
Finding GCF for 400 and 1,080 using all factors (divisors) listing
The first method to find GCF for numbers 400 and 1,080 is to list all factors for both numbers and pick the highest common one:
All factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
All factors of 1,080: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080
So the Greatest Common Factor for 400 and 1,080 is 40
Finding GCF for 400 and 1,080 by Prime Factorization
The second method to find GCF for numbers 400 and 1,080 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 400: 2, 2, 2, 2, 5, 5
All Prime Factors of 1,080: 2, 2, 2, 3, 3, 3, 5
As we can see there are Prime Factors common to both numbers: 2, 2, 2, 5
Now we need to multiply them to find GCF: 2 × 2 × 2 × 5 = 40
Related Calculations
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 400 | 1,065 | 5 |
| 400 | 1,066 | 2 |
| 400 | 1,067 | 1 |
| 400 | 1,068 | 4 |
| 400 | 1,069 | 1 |
| 400 | 1,070 | 10 |
| 400 | 1,071 | 1 |
| 400 | 1,072 | 16 |
| 400 | 1,073 | 1 |
| 400 | 1,074 | 2 |
| 400 | 1,075 | 25 |
| 400 | 1,076 | 4 |
| 400 | 1,077 | 1 |
| 400 | 1,078 | 2 |
| 400 | 1,079 | 1 |
| 400 | 1,080 | 40 |
| 400 | 1,081 | 1 |
| 400 | 1,082 | 2 |
| 400 | 1,083 | 1 |
| 400 | 1,084 | 4 |
| 400 | 1,085 | 5 |
| 400 | 1,086 | 2 |
| 400 | 1,087 | 1 |
| 400 | 1,088 | 16 |
| 400 | 1,089 | 1 |
| 400 | 1,090 | 10 |
| 400 | 1,091 | 1 |
| 400 | 1,092 | 4 |
| 400 | 1,093 | 1 |
| 400 | 1,094 | 2 |
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.