GCF for 45 and 90

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 45 and 90?

Answer

GCF of 45 and 90 is 45

(Forty-five)

Finding GCF for 45 and 90 using all factors (divisors) listing

The first method to find GCF for numbers 45 and 90 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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

So the Greatest Common Factor for 45 and 90 is 45

Finding GCF for 45 and 90 by Prime Factorization

The second method to find GCF for numbers 45 and 90 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 90: 2, 3, 3, 5

As we can see there are Prime Factors common to both numbers: 3, 3, 5

Now we need to multiply them to find GCF: 3 × 3 × 5 = 45

Related Calculations

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 90? (The answer is: 45). Select the first number (e.g. '45') and the second number (e.g. '90'). 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 1 Number 2 GCF
30 90 30
31 90 1
32 90 2
33 90 3
34 90 2
35 90 5
36 90 18
37 90 1
38 90 2
39 90 3
40 90 10
41 90 1
42 90 6
43 90 1
44 90 2
45 90 45
46 90 2
47 90 1
48 90 6
49 90 1
50 90 10
51 90 3
52 90 2
53 90 1
54 90 18
55 90 5
56 90 2
57 90 3
58 90 2
59 90 1

FAQ

What is the Greatest Common Divisor of 45 and 90?
GCF of 45 and 90 is 45

How to find the GCF of 45 and 90?
You can find the GCF of 45 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 45 and 90 is 45.

See Also