GCF for 125 and 1000

What is the Greatest common Divisor of 125 and 1000?

Answer: GCF of 125 and 1000 is 125

(One hundred twenty-five)

Finding GCF for 125 and 1000 using all factors (divisors) listing

The first method to find GCF for numbers 125 and 1000 is to list all factors for both numbers and pick the highest common one:

All factors of 125: 1, 5, 25, 125

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 125 and 1000 is 125

Finding GCF for 125 and 1000 by Prime Factorization

The second method to find GCF for numbers 125 and 1000 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 125: 5, 5, 5

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

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

Now we need to multiply them to find GCF: 5 × 5 × 5 = 125

GCF Table

Number 1Number 2GCF
110100010
11110001
11210008
11310001
11410002
11510005
11610004
11710001
11810002
11910001
120100040
12110001
12210002
12310001
12410004
1251000125
12610002
12710001
12810008
12910001
130100010
13110001
13210004
13310001
13410002
13510005
13610008
13710001
13810002
13910001

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 125 and 1000? (The answer is: 125). Select the first number (e.g. '125') 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 125 and 1000?

GCF of 125 and 1000 is 125