GCF for 54 and 64

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 54 and 64?

Answer: GCF of 54 and 64 is 2

(Two)

Finding GCF for 54 and 64 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 64 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 64: 1, 2, 4, 8, 16, 32, 64

So the Greatest Common Factor for 54 and 64 is 2

Finding GCF for 54 and 64 by Prime Factorization

The second method to find GCF for numbers 54 and 64 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 64: 2, 2, 2, 2, 2, 2

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 54 and 64

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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 64? (The answer is: 2). Select the first number (e.g. '54') and the second number (e.g. '64'). 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
39641
40648
41641
42642
43641
44644
45641
46642
47641
486416
49641
50642
51641
52644
53641
54642
55641
56648
57641
58642
59641
60644
61641
62642
63641
646464
65641
66642
67641
68644

FAQ

What is the Greatest common Divisor of 54 and 64?

GCF of 54 and 64 is 2

See Also