GCF for 30 and 350

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 30 and 350?

Answer

GCF of 30 and 350 is 10

(Ten)

Finding GCF for 30 and 350 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 350 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 350: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

So the Greatest Common Factor for 30 and 350 is 10

Finding GCF for 30 and 350 by Prime Factorization

The second method to find GCF for numbers 30 and 350 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 350: 2, 5, 5, 7

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 350? (The answer is: 10). Select the first number (e.g. '30') and the second number (e.g. '350'). 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
153505
163502
173501
183502
193501
2035010
213507
223502
233501
243502
2535025
263502
273501
2835014
293501
3035010
313501
323502
333501
343502
3535035
363502
373501
383502
393501
4035010
413501
4235014
433501
443502

FAQ

What is the Greatest Common Divisor of 30 and 350?

GCF of 30 and 350 is 10

How to find the GCF of 30 and 350?

You can find the GCF of 30 and 350 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 350 is 10.

See Also