GCF for 75 and 225

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 75 and 225?

Answer: GCF of 75 and 225 is 75

(Seventy-five)

Finding GCF for 75 and 225 using all factors (divisors) listing

The first method to find GCF for numbers 75 and 225 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 225: 1, 3, 5, 9, 15, 25, 45, 75, 225

So the Greatest Common Factor for 75 and 225 is 75

Finding GCF for 75 and 225 by Prime Factorization

The second method to find GCF for numbers 75 and 225 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 225: 3, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 3, 5, 5

Now we need to multiply them to find GCF: 3 × 5 × 5 = 75

See Also

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 225? (The answer is: 75). Select the first number (e.g. '75') and the second number (e.g. '225'). 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
6022515
612251
622251
632259
642251
652255
662253
672251
682251
692253
702255
712251
722259
732251
742251
7522575
762251
772251
782253
792251
802255
812259
822251
832251
842253
852255
862251
872253
882251
892251

FAQ

What is the Greatest common Divisor of 75 and 225?

GCF of 75 and 225 is 75

See Also