GCF for 54 and 24

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 54 and 24?

Answer

GCF of 54 and 24 is 6

(Six)

Finding GCF for 54 and 24 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 24 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 24: 1, 2, 3, 4, 6, 8, 12, 24

So the Greatest Common Factor for 54 and 24 is 6

Finding GCF for 54 and 24 by Prime Factorization

The second method to find GCF for numbers 54 and 24 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 24: 2, 2, 2, 3

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 24? (The answer is: 6). Select the first number (e.g. '54') and the second number (e.g. '24'). 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
39243
40248
41241
42246
43241
44244
45243
46242
47241
482424
49241
50242
51243
52244
53241
54246
55241
56248
57243
58242
59241
602412
61241
62242
63243
64248
65241
66246
67241
68244

FAQ

What is the Greatest Common Divisor of 54 and 24?

GCF of 54 and 24 is 6

How to find the GCF of 54 and 24?

You can find the GCF of 54 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 24 is 6.

See Also