GCF for 30 and 56

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 30 and 56?

Answer: GCF of 30 and 56 is 2

(Two)

Finding GCF for 30 and 56 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 56 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 56: 1, 2, 4, 7, 8, 14, 28, 56

So the Greatest Common Factor for 30 and 56 is 2

Finding GCF for 30 and 56 by Prime Factorization

The second method to find GCF for numbers 30 and 56 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 56: 2, 2, 2, 7

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 30 and 56

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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 56? (The answer is: 2). Select the first number (e.g. '30') and the second number (e.g. '56'). 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
15561
16568
17561
18562
19561
20564
21567
22562
23561
24568
25561
26562
27561
285628
29561
30562
31561
32568
33561
34562
35567
36564
37561
38562
39561
40568
41561
425614
43561
44564

FAQ

What is the Greatest common Divisor of 30 and 56?

GCF of 30 and 56 is 2

See Also