GCF for 54 and 66

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 54 and 66?

Answer: GCF of 54 and 66 is 6

(Six)

Finding GCF for 54 and 66 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 66 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 66: 1, 2, 3, 6, 11, 22, 33, 66

So the Greatest Common Factor for 54 and 66 is 6

Finding GCF for 54 and 66 by Prime Factorization

The second method to find GCF for numbers 54 and 66 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 66: 2, 3, 11

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

Now we need to multiply them to find GCF: 2 × 3 = 6

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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 66? (The answer is: 6). Select the first number (e.g. '54') and the second number (e.g. '66'). 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
39663
40662
41661
42666
43661
446622
45663
46662
47661
48666
49661
50662
51663
52662
53661
54666
556611
56662
57663
58662
59661
60666
61661
62662
63663
64662
65661
666666
67661
68662

FAQ

What is the Greatest common Divisor of 54 and 66?

GCF of 54 and 66 is 6

See Also