GCF for 30 and 400

What is the Greatest Common Factor of 30 and 400?

Answer: GCF of 30 and 400 is 10

(Ten)

Finding GCF for 30 and 400 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 400 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 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

So the Greatest Common Factor for 30 and 400 is 10

Finding GCF for 30 and 400 by Prime Factorization

The second method to find GCF for numbers 30 and 400 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 400: 2, 2, 2, 2, 5, 5

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

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
154005
1640016
174001
184002
194001
2040020
214001
224002
234001
244008
2540025
264002
274001
284004
294001
3040010
314001
3240016
334001
344002
354005
364004
374001
384002
394001
4040040
414001
424002
434001
444004

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 400? (The answer is: 10). Select the first number (e.g. '30') and the second number (e.g. '400'). 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 400?

GCF of 30 and 400 is 10