GCF for 54 and 36

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 54 and 36?

Answer

GCF of 54 and 36 is 18

(Eighteen)

Finding GCF for 54 and 36 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 36 is to list all factors for both numbers and pick the highest common one:

All factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

All factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

So the Greatest Common Factor for 54 and 36 is 18

Finding GCF for 54 and 36 by Prime Factorization

The second method to find GCF for numbers 54 and 36 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 54: 2, 3, 3, 3

All Prime Factors of 36: 2, 2, 3, 3

As we can see there are Prime Factors common to both numbers: 2, 3, 3

Now we need to multiply them to find GCF: 2 × 3 × 3 = 18

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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 54 and 36? (The answer is: 18). Select the first number (e.g. '54') and the second number (e.g. '36'). 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
39 36 3
40 36 4
41 36 1
42 36 6
43 36 1
44 36 4
45 36 9
46 36 2
47 36 1
48 36 12
49 36 1
50 36 2
51 36 3
52 36 4
53 36 1
54 36 18
55 36 1
56 36 4
57 36 3
58 36 2
59 36 1
60 36 12
61 36 1
62 36 2
63 36 9
64 36 4
65 36 1
66 36 6
67 36 1
68 36 4

FAQ

What is the Greatest Common Divisor of 54 and 36?
GCF of 54 and 36 is 18

How to find the GCF of 54 and 36?
You can find the GCF of 54 and 36 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 36 is 18.

See Also