GCF for 30 and 475

What is the Greatest Common Factor of 30 and 475?

Answer: GCF of 30 and 475 is 5

(Five)

Finding GCF for 30 and 475 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 475 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 475: 1, 5, 19, 25, 95, 475

So the Greatest Common Factor for 30 and 475 is 5

Finding GCF for 30 and 475 by Prime Factorization

The second method to find GCF for numbers 30 and 475 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 475: 5, 5, 19

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 30 and 475

GCF Table

Number 1Number 2GCF
154755
164751
174751
184751
1947519
204755
214751
224751
234751
244751
2547525
264751
274751
284751
294751
304755
314751
324751
334751
344751
354755
364751
374751
3847519
394751
404755
414751
424751
434751
444751

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 475? (The answer is: 5). Select the first number (e.g. '30') and the second number (e.g. '475'). 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 475?

GCF of 30 and 475 is 5