GCF for 75 and 200

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 75 and 200?

Answer: GCF of 75 and 200 is 25

(Twenty-five)

Finding GCF for 75 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 75 and 200 is to list all factors for both numbers and pick the highest common one:

All factors of 75: 1, 3, 5, 15, 25, 75

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

So the Greatest Common Factor for 75 and 200 is 25

Finding GCF for 75 and 200 by Prime Factorization

The second method to find GCF for numbers 75 and 200 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 75: 3, 5, 5

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

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

Now we need to multiply them to find GCF: 5 × 5 = 25

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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 75 and 200? (The answer is: 25). Select the first number (e.g. '75') and the second number (e.g. '200'). 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
6020020
612001
622002
632001
642008
652005
662002
672001
682004
692001
7020010
712001
722008
732001
742002
7520025
762004
772001
782002
792001
8020040
812001
822002
832001
842004
852005
862002
872001
882008
892001

FAQ

What is the Greatest common Divisor of 75 and 200?

GCF of 75 and 200 is 25

See Also