GCF for 480 and 720

What is the Greatest common Divisor of 480 and 720?

Answer: GCF of 480 and 720 is 240

(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

See Also

GCF Table

Number 1Number 2GCF
46572015
4667202
4677201
46872036
4697201
47072010
4717203
4727208
4737201
4747206
4757205
4767204
4777209
4787202
4797201
480720
4817201
4827202
4837203
4847204
4857205
48672018
4877201
4887208
4897203
49072010
4917201
49272012
4937201
4947202

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 480 and 720? (The answer is: 240). Select the first number (e.g. '480') and the second number (e.g. '720'). 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

FAQ

What is the Greatest common Divisor of 480 and 720?

GCF of 480 and 720 is 240