GCF for 45 and 30

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 45 and 30?

Answer: GCF of 45 and 30 is 15

(Fifteen)

Finding GCF for 45 and 30 using all factors (divisors) listing

The first method to find GCF for numbers 45 and 30 is to list all factors for both numbers and pick the highest common one:

All factors of 45: 1, 3, 5, 9, 15, 45

All factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

So the Greatest Common Factor for 45 and 30 is 15

Finding GCF for 45 and 30 by Prime Factorization

The second method to find GCF for numbers 45 and 30 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 45: 3, 3, 5

All Prime Factors of 30: 2, 3, 5

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 45 and 30? (The answer is: 15). Select the first number (e.g. '45') and the second number (e.g. '30'). 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
303030
31301
32302
33303
34302
35305
36306
37301
38302
39303
403010
41301
42306
43301
44302
453015
46302
47301
48306
49301
503010
51303
52302
53301
54306
55305
56302
57303
58302
59301

FAQ

What is the Greatest common Divisor of 45 and 30?

GCF of 45 and 30 is 15

See Also