GCF for 48 and 54

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 48 and 54?

Answer

GCF of 48 and 54 is 6

(Six)

Finding GCF for 48 and 54 using all factors (divisors) listing

The first method to find GCF for numbers 48 and 54 is to list all factors for both numbers and pick the highest common one:

All factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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

So the Greatest Common Factor for 48 and 54 is 6

Finding GCF for 48 and 54 by Prime Factorization

The second method to find GCF for numbers 48 and 54 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 48: 2, 2, 2, 2, 3

All Prime Factors of 54: 2, 3, 3, 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 48 and 54? (The answer is: 6). Select the first number (e.g. '48') and the second number (e.g. '54'). 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
33543
34542
35541
365418
37541
38542
39543
40542
41541
42546
43541
44542
45549
46542
47541
48546
49541
50542
51543
52542
53541
545454
55541
56542
57543
58542
59541
60546
61541
62542

FAQ

What is the Greatest Common Divisor of 48 and 54?

GCF of 48 and 54 is 6

How to find the GCF of 48 and 54?

You can find the GCF of 48 and 54 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 48 and 54 is 6.

See Also