GCF for 240 and 360

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 240 and 360?

Answer: GCF of 240 and 360 is 120

(One hundred twenty)

Finding GCF for 240 and 360 using all factors (divisors) listing

The first method to find GCF for numbers 240 and 360 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 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

So the Greatest Common Factor for 240 and 360 is 120

Finding GCF for 240 and 360 by Prime Factorization

The second method to find GCF for numbers 240 and 360 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 360: 2, 2, 2, 3, 3, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 × 5 = 120

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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 360? (The answer is: 120). Select the first number (e.g. '240') and the second number (e.g. '360'). 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
22536045
2263602
2273601
22836012
2293601
23036010
2313603
2323608
2333601
23436018
2353605
2363604
2373603
2383602
2393601
240360120
2413601
2423602
2433609
2443604
2453605
2463606
2473601
2483608
2493603
25036010
2513601
25236036
2533601
2543602

FAQ

What is the Greatest common Divisor of 240 and 360?

GCF of 240 and 360 is 120

See Also