GCF for 10 and 240

What is the Greatest Common Factor of 10 and 240?

Answer: GCF of 10 and 240 is 10

(Ten)

Finding GCF for 10 and 240 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 240 is to list all factors for both numbers and pick the highest common one:

All factors of 10: 1, 2, 5, 10

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

So the Greatest Common Factor for 10 and 240 is 10

Finding GCF for 10 and 240 by Prime Factorization

The second method to find GCF for numbers 10 and 240 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 10: 2, 5

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

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

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
12401
22402
32403
42404
52405
62406
72401
82408
92403
1024010
112401
1224012
132401
142402
1524015
1624016
172401
182406
192401
2024020
212403
222402
232401
2424024
252405
262402
272403
282404
292401
3024030

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 Factor of 10 and 240? (The answer is: 10). Select the first number (e.g. '10') and the second number (e.g. '240'). 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 Factor of 10 and 240?

GCF of 10 and 240 is 10