GCF for 30 and 45

What is the Greatest common Divisor of 30 and 45?

Answer: GCF of 30 and 45 is 15

(Fifteen)

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

The first method to find GCF for numbers 30 and 45 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 45: 1, 3, 5, 9, 15, 45

So the Greatest Common Factor for 30 and 45 is 15

Finding GCF for 30 and 45 by Prime Factorization

The second method to find GCF for numbers 30 and 45 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 45: 3, 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

See Also

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 45? (The answer is: 15). Select the first number (e.g. '30') and the second number (e.g. '45'). 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

GCF Table

Number 1Number 2GCF
1545
1645
17451
1845
19451
2045
2145
2245
23451
2445
2545
2645
2745
2845
2945
3045
31451
3245
33453
34451
3545
3645
37451
38451
3945
4045
41451
4245
43451
44451

FAQ

What is the Greatest common Divisor of 30 and 45?

GCF of 30 and 45 is 15