GCF for 200 and 240

What is the Greatest common Divisor of 200 and 240?

Answer: GCF of 200 and 240 is 40

(Forty)

Finding GCF for 200 and 240 using all factors (divisors) listing

The first method to find GCF for numbers 200 and 240 is to list all factors for both numbers and pick the highest common one:

All factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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 200 and 240 is 40

Finding GCF for 200 and 240 by Prime Factorization

The second method to find GCF for numbers 200 and 240 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 200: 2, 2, 2, 5, 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, 2, 2, 5

Now we need to multiply them to find GCF: 2 × 2 × 2 × 5 = 40

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 200 and 240? (The answer is: 40). Select the first number (e.g. '200') 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

GCF Table

Number 1Number 2GCF
1852405
1862406
1872401
1882404
1892403
19024010
1912401
19224048
1932401
1942402
19524015
1962404
1972401
1982406
1992401
200240
2012403
2022402
2032401
20424012
2052405
2062402
2072403
20824016
2092401
21024030
2112401
2122404
2132403
2142402

FAQ

What is the Greatest common Divisor of 200 and 240?

GCF of 200 and 240 is 40