GCF of 480 and 720 (Greatest Common Factor)
What is the Greatest Common Divisor of 480 and 720?
Answer
(Two hundred forty)
Finding GCF for 480 and 720 using all factors (divisors) listing
The first method to find GCF for numbers 480 and 720 is to list all factors for both numbers and pick the highest common one:
All factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
All factors of 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
So the Greatest Common Factor for 480 and 720 is 240
Finding GCF for 480 and 720 by Prime Factorization
The second method to find GCF for numbers 480 and 720 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 480: 2, 2, 2, 2, 2, 3, 5
All Prime Factors of 720: 2, 2, 2, 2, 3, 3, 5
As we can see there are Prime Factors common to both numbers: 2, 2, 2, 2, 3, 5
Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 × 3 × 5 = 240
Related Calculations
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
<a href="https://calculat.io/en/number/greatest-common-factor-of/480--720">What is the GCF of 480 and 720 - Calculatio</a>
GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 480 | 705 | 15 |
| 480 | 706 | 2 |
| 480 | 707 | 1 |
| 480 | 708 | 12 |
| 480 | 709 | 1 |
| 480 | 710 | 10 |
| 480 | 711 | 3 |
| 480 | 712 | 8 |
| 480 | 713 | 1 |
| 480 | 714 | 6 |
| 480 | 715 | 5 |
| 480 | 716 | 4 |
| 480 | 717 | 3 |
| 480 | 718 | 2 |
| 480 | 719 | 1 |
| 480 | 720 | 240 |
| 480 | 721 | 1 |
| 480 | 722 | 2 |
| 480 | 723 | 3 |
| 480 | 724 | 4 |
| 480 | 725 | 5 |
| 480 | 726 | 6 |
| 480 | 727 | 1 |
| 480 | 728 | 8 |
| 480 | 729 | 3 |
| 480 | 730 | 10 |
| 480 | 731 | 1 |
| 480 | 732 | 12 |
| 480 | 733 | 1 |
| 480 | 734 | 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.