GCF for 25 and 180

What is the Greatest common Divisor of 25 and 180?

Answer: GCF of 25 and 180 is 5

(Five)

Finding GCF for 25 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 25 and 180 is to list all factors for both numbers and pick the highest common one:

All factors of 25: 1, 5, 25

All factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

So the Greatest Common Factor for 25 and 180 is 5

Finding GCF for 25 and 180 by Prime Factorization

The second method to find GCF for numbers 25 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 25: 5, 5

All Prime Factors of 180: 2, 2, 3, 3, 5

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 25 and 180

GCF Table

Number 1Number 2GCF
10180
111801
12180
131801
141802
15180
161804
171801
18180
191801
2018020
211803
221802
231801
24180
25180
261802
27180
281804
291801
30180
311801
32180
331803
341802
351805
36180
371801
381802
391803

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 25 and 180? (The answer is: 5). Select the first number (e.g. '25') and the second number (e.g. '180'). 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 25 and 180?

GCF of 25 and 180 is 5