GCF for 45 and 15

What is the Greatest common Divisor of 45 and 15?

Answer: GCF of 45 and 15 is 15

(Fifteen)

Finding GCF for 45 and 15 using all factors (divisors) listing

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

So the Greatest Common Factor for 45 and 15 is 15

Finding GCF for 45 and 15 by Prime Factorization

The second method to find GCF for numbers 45 and 15 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 15: 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 45 and 15? (The answer is: 15). Select the first number (e.g. '45') and the second number (e.g. '15'). 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
301515
31151
32151
33153
34151
35155
36153
37151
38151
39153
40155
41151
42153
43151
44151
4515
46151
47151
48153
49151
50155
51153
52151
53151
54153
55155
56151
57153
58151
59151

FAQ

What is the Greatest common Divisor of 45 and 15?

GCF of 45 and 15 is 15