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GCF for 30 and 130

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 30 and 130?

Answer

GCF of 30 and 130 is 10

(Ten)

Finding GCF for 30 and 130 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 130 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 130: 1, 2, 5, 10, 13, 26, 65, 130

So the Greatest Common Factor for 30 and 130 is 10

Finding GCF for 30 and 130 by Prime Factorization

The second method to find GCF for numbers 30 and 130 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 130: 2, 5, 13

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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What is the GCF of 30 and 130. Find the GCF (GCD) of 30 and 130 - the biggest number that can divide two integers.
https://calculat.io/en/number/greatest-common-factor-of/30--130/generated.jpgCopy

GCF Table

Number 1 Number 2 GCF
15 130 5
16 130 2
17 130 1
18 130 2
19 130 1
20 130 10
21 130 1
22 130 2
23 130 1
24 130 2
25 130 5
26 130 26
27 130 1
28 130 2
29 130 1
30 130 10
31 130 1
32 130 2
33 130 1
34 130 2
35 130 5
36 130 2
37 130 1
38 130 2
39 130 13
40 130 10
41 130 1
42 130 2
43 130 1
44 130 2

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 130? (The answer is: 10). Select the first number (e.g. '30') and the second number (e.g. '130'). 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

FAQ

What is the Greatest Common Divisor of 30 and 130?
GCF of 30 and 130 is 10

How to find the GCF of 30 and 130?
You can find the GCF of 30 and 130 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 130 is 10.

See Also