GCF for 30 and 105

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 30 and 105?

Answer

GCF of 30 and 105 is 15

(Fifteen)

Finding GCF for 30 and 105 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 105 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 105: 1, 3, 5, 7, 15, 21, 35, 105

So the Greatest Common Factor for 30 and 105 is 15

Finding GCF for 30 and 105 by Prime Factorization

The second method to find GCF for numbers 30 and 105 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 105: 3, 5, 7

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

Now we need to multiply them to find GCF: 3 × 5 = 15

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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 105? (The answer is: 15). Select the first number (e.g. '30') and the second number (e.g. '105'). 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 1 Number 2 GCF
15 105 15
16 105 1
17 105 1
18 105 3
19 105 1
20 105 5
21 105 21
22 105 1
23 105 1
24 105 3
25 105 5
26 105 1
27 105 3
28 105 7
29 105 1
30 105 15
31 105 1
32 105 1
33 105 3
34 105 1
35 105 35
36 105 3
37 105 1
38 105 1
39 105 3
40 105 5
41 105 1
42 105 21
43 105 1
44 105 1

FAQ

What is the Greatest Common Divisor of 30 and 105?
GCF of 30 and 105 is 15

How to find the GCF of 30 and 105?
You can find the GCF of 30 and 105 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 105 is 15.

See Also