GCF for 100 and 1000

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 100 and 1000?

Answer: GCF of 100 and 1000 is 100

(Hundred)

Finding GCF for 100 and 1000 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 1000 is to list all factors for both numbers and pick the highest common one:

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

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 100 and 1000 is 100

Finding GCF for 100 and 1000 by Prime Factorization

The second method to find GCF for numbers 100 and 1000 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 100: 2, 2, 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: 2, 2, 5, 5

Now we need to multiply them to find GCF: 2 × 2 × 5 × 5 = 100

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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 100 and 1000? (The answer is: 100). Select the first number (e.g. '100') 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
8510005
8610002
8710001
8810008
8910001
90100010
9110001
9210004
9310001
9410002
9510005
9610008
9710001
9810002
9910001
1001000100
10110001
10210002
10310001
10410008
10510005
10610002
10710001
10810004
10910001
110100010
11110001
11210008
11310001
11410002

FAQ

What is the Greatest common Divisor of 100 and 1000?

GCF of 100 and 1000 is 100

See Also