GCF for 20 and 175

What is the Greatest Common Factor of 20 and 175?

Answer: GCF of 20 and 175 is 5

(Five)

Finding GCF for 20 and 175 using all factors (divisors) listing

The first method to find GCF for numbers 20 and 175 is to list all factors for both numbers and pick the highest common one:

All factors of 20: 1, 2, 4, 5, 10, 20

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

So the Greatest Common Factor for 20 and 175 is 5

Finding GCF for 20 and 175 by Prime Factorization

The second method to find GCF for numbers 20 and 175 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 20: 2, 2, 5

All Prime Factors of 175: 5, 5, 7

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 20 and 175

GCF Table

Number 1Number 2GCF
51755
61751
71757
81751
91751
101755
111751
121751
131751
141757
151755
161751
171751
181751
191751
201755
211757
221751
231751
241751
2517525
261751
271751
281757
291751
301755
311751
321751
331751
341751

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 Factor of 20 and 175? (The answer is: 5). Select the first number (e.g. '20') 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 Factor of 20 and 175?

GCF of 20 and 175 is 5