GCF for 240 and 300

What is the Greatest common Divisor of 240 and 300?

Answer: GCF of 240 and 300 is 60

(Sixty)

Finding GCF for 240 and 300 using all factors (divisors) listing

The first method to find GCF for numbers 240 and 300 is to list all factors for both numbers and pick the highest common one:

All factors of 240: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

All factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

So the Greatest Common Factor for 240 and 300 is 60

Finding GCF for 240 and 300 by Prime Factorization

The second method to find GCF for numbers 240 and 300 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 240: 2, 2, 2, 2, 3, 5

All Prime Factors of 300: 2, 2, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 2, 3, 5

Now we need to multiply them to find GCF: 2 × 2 × 3 × 5 = 60

GCF Table

Number 1Number 2GCF
22530075
2263002
2273001
22830012
2293001
23030010
2313003
2323004
2333001
2343006
2353005
2363004
2373003
2383002
2393001
240300
2413001
2423002
2433003
2443004
2453005
2463006
2473001
2483004
2493003
250300
2513001
25230012
2533001
2543002

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 240 and 300? (The answer is: 60). Select the first number (e.g. '240') and the second number (e.g. '300'). 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 240 and 300?

GCF of 240 and 300 is 60