GCF for 30 and 470

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 30 and 470?

Answer

GCF of 30 and 470 is 10

(Ten)

Finding GCF for 30 and 470 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 470 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 470: 1, 2, 5, 10, 47, 94, 235, 470

So the Greatest Common Factor for 30 and 470 is 10

Finding GCF for 30 and 470 by Prime Factorization

The second method to find GCF for numbers 30 and 470 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 470: 2, 5, 47

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

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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 30 and 470? (The answer is: 10). Select the first number (e.g. '30') and the second number (e.g. '470'). 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.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
154705
164702
174701
184702
194701
2047010
214701
224702
234701
244702
254705
264702
274701
284702
294701
3047010
314701
324702
334701
344702
354705
364702
374701
384702
394701
4047010
414701
424702
434701
444702

FAQ

What is the Greatest Common Divisor of 30 and 470?

GCF of 30 and 470 is 10

How to find the GCF of 30 and 470?

You can find the GCF of 30 and 470 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 470 is 10.

See Also