GCF for 40 and 1000

What is the Greatest Common Factor of 40 and 1000?

Answer: GCF of 40 and 1000 is 40

(Forty)

Finding GCF for 40 and 1000 using all factors (divisors) listing

The first method to find GCF for numbers 40 and 1000 is to list all factors for both numbers and pick the highest common one:

All factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

All factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

So the Greatest Common Factor for 40 and 1000 is 40

Finding GCF for 40 and 1000 by Prime Factorization

The second method to find GCF for numbers 40 and 1000 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 40: 2, 2, 2, 5

All Prime Factors of 1000: 2, 2, 2, 5, 5, 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

GCF Table

Number 1Number 2GCF
25100025
2610002
2710001
2810004
2910001
30100010
3110001
3210008
3310001
3410002
3510005
3610004
3710001
3810002
3910001
40100040
4110001
4210002
4310001
4410004
4510005
4610002
4710001
4810008
4910001
50100050
5110001
5210004
5310001
5410002

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 40 and 1000? (The answer is: 40). Select the first number (e.g. '40') and the second number (e.g. '1000'). 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 40 and 1000?

GCF of 40 and 1000 is 40