GCF for 30 and 180

What is the Greatest Common Factor of 30 and 180?

Answer: GCF of 30 and 180 is 30

(Thirty)

Finding GCF for 30 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 180 is to list all factors for both numbers and pick the highest common one:

All factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

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 30 and 180 is 30

Finding GCF for 30 and 180 by Prime Factorization

The second method to find GCF for numbers 30 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 30: 2, 3, 5

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

As we can see there are Prime Factors common to both numbers: 2, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

GCF Table

Number 1Number 2GCF
1518015
161804
171801
1818018
191801
2018020
211803
221802
231801
2418012
251805
261802
27180
281804
291801
3018030
311801
321804
331803
341802
351805
36180
371801
381802
391803
40180
411801
421806
431801
441804

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 30 and 180? (The answer is: 30). Select the first number (e.g. '30') 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 Factor of 30 and 180?

GCF of 30 and 180 is 30