GCF for 30 and 585

What is the Greatest Common Factor of 30 and 585?

Answer: GCF of 30 and 585 is 15

(Fifteen)

Finding GCF for 30 and 585 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 585 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 585: 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

So the Greatest Common Factor for 30 and 585 is 15

Finding GCF for 30 and 585 by Prime Factorization

The second method to find GCF for numbers 30 and 585 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 585: 3, 3, 5, 13

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

Now we need to multiply them to find GCF: 3 × 5 = 15

GCF Table

Number 1Number 2GCF
1558515
165851
175851
185859
195851
205855
215853
225851
235851
245853
255855
2658513
275859
285851
295851
3058515
315851
325851
335853
345851
355855
365859
375851
385851
3958539
405855
415851
425853
435851
445851

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 585? (The answer is: 15). Select the first number (e.g. '30') and the second number (e.g. '585'). 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 585?

GCF of 30 and 585 is 15