GCF for 45 and 75

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 45 and 75?

Answer: GCF of 45 and 75 is 15

(Fifteen)

Finding GCF for 45 and 75 using all factors (divisors) listing

The first method to find GCF for numbers 45 and 75 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 75: 1, 3, 5, 15, 25, 75

So the Greatest Common Factor for 45 and 75 is 15

Finding GCF for 45 and 75 by Prime Factorization

The second method to find GCF for numbers 45 and 75 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 75: 3, 5, 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 75? (The answer is: 15). Select the first number (e.g. '45') and the second number (e.g. '75'). 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
307515
31751
32751
33753
34751
35755
36753
37751
38751
39753
40755
41751
42753
43751
44751
457515
46751
47751
48753
49751
507525
51753
52751
53751
54753
55755
56751
57753
58751
59751

FAQ

What is the Greatest common Divisor of 45 and 75?

GCF of 45 and 75 is 15

See Also