GCF for 50 and 175

What is the Greatest common Divisor of 50 and 175?

Answer: GCF of 50 and 175 is 25

(Twenty-five)

Finding GCF for 50 and 175 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 175 is to list all factors for both numbers and pick the highest common one:

All factors of 50: 1, 2, 5, 10, 25, 50

All factors of 175: 1, 5, 7, 25, 35, 175

So the Greatest Common Factor for 50 and 175 is 25

Finding GCF for 50 and 175 by Prime Factorization

The second method to find GCF for numbers 50 and 175 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 50: 2, 5, 5

All Prime Factors of 175: 5, 5, 7

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

Related Calculations

GCF Table

Number 1Number 2GCF
3517535
361751
371751
381751
391751
401755
411751
421757
431751
441751
451755
461751
471751
481751
491757
50175
511751
521751
531751
541751
551755
56175
571751
581751
591751
601755
611751
621751
631757
641751

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 50 and 175? (The answer is: 25). Select the first number (e.g. '50') and the second number (e.g. '175'). 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 50 and 175?

GCF of 50 and 175 is 25