GCF of 480 and 720 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

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

Related Calculations

See Also

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.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

GCF Table

Number 1Number 2GCF
48070515
4807062
4807071
48070812
4807091
48071010
4807113
4807128
4807131
4807146
4807155
4807164
4807173
4807182
4807191
480720240
4807211
4807222
4807233
4807244
4807255
4807266
4807271
4807288
4807293
48073010
4807311
48073212
4807331
4807342

FAQ

What is the Greatest Common Divisor of 480 and 720?

GCF of 480 and 720 is 240

How to find the GCF of 480 and 720?

You can find the GCF of 480 and 720 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 480 and 720 is 240.

What prime factors do 480 and 720 share?

The prime factorizations of 480 and 720 have 2 × 2 × 2 × 2 × 3 × 5 in common, and multiplying those shared primes gives 240 — exactly the greatest common factor.

How does the GCF reduce the fraction 480/720?

Divide the numerator and the denominator by the GCF 240: 480 ÷ 240 = 2 and 720 ÷ 240 = 3. So 480/720 in lowest terms is 2/3.

See Also