GCF for 10 and 1000

What is the Greatest common Divisor of 10 and 1000?

Answer: GCF of 10 and 1000 is 10

(Ten)

Finding GCF for 10 and 1000 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 1000 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 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

So the Greatest Common Factor for 10 and 1000 is 10

Finding GCF for 10 and 1000 by Prime Factorization

The second method to find GCF for numbers 10 and 1000 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 1000: 2, 2, 2, 5, 5, 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
110001
210002
310001
410004
510005
610002
710001
810008
910001
101000
1110001
1210004
1310001
1410002
1510005
1610008
1710001
1810002
1910001
201000
2110001
2210002
2310001
2410008
25100025
2610002
2710001
2810004
2910001
30100010

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 10 and 1000? (The answer is: 10). Select the first number (e.g. '10') 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 Divisor of 10 and 1000?

GCF of 10 and 1000 is 10