GCF for 30 and 120

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 30 and 120?

Answer

GCF of 30 and 120 is 30

(Thirty)

Finding GCF for 30 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 120 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 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

So the Greatest Common Factor for 30 and 120 is 30

Finding GCF for 30 and 120 by Prime Factorization

The second method to find GCF for numbers 30 and 120 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 120: 2, 2, 2, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

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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 120? (The answer is: 30). Select the first number (e.g. '30') and the second number (e.g. '120'). 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
1512015
161208
171201
181206
191201
2012020
211203
221202
231201
2412024
251205
261202
271203
281204
291201
3012030
311201
321208
331203
341202
351205
3612012
371201
381202
391203
4012040
411201
421206
431201
441204

FAQ

What is the Greatest Common Divisor of 30 and 120?

GCF of 30 and 120 is 30

How to find the GCF of 30 and 120?

You can find the GCF of 30 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 120 is 30.

See Also