GCF for 75 and 125

What is the Greatest common Divisor of 75 and 125?

Answer: GCF of 75 and 125 is 25

(Twenty-five)

Finding GCF for 75 and 125 using all factors (divisors) listing

The first method to find GCF for numbers 75 and 125 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 125: 1, 5, 25, 125

So the Greatest Common Factor for 75 and 125 is 25

Finding GCF for 75 and 125 by Prime Factorization

The second method to find GCF for numbers 75 and 125 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 125: 5, 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

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 125? (The answer is: 25). Select the first number (e.g. '75') and the second number (e.g. '125'). 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

GCF Table

Number 1Number 2GCF
601255
611251
621251
631251
641251
651255
661251
671251
681251
691251
701255
711251
721251
731251
741251
75125
761251
771251
781251
791251
801255
811251
821251
831251
841251
851255
861251
871251
881251
891251

FAQ

What is the Greatest common Divisor of 75 and 125?

GCF of 75 and 125 is 25