GCF for 54 and 63

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 54 and 63?

Answer: GCF of 54 and 63 is 9

(Nine)

Finding GCF for 54 and 63 using all factors (divisors) listing

The first method to find GCF for numbers 54 and 63 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 63: 1, 3, 7, 9, 21, 63

So the Greatest Common Factor for 54 and 63 is 9

Finding GCF for 54 and 63 by Prime Factorization

The second method to find GCF for numbers 54 and 63 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 63: 3, 3, 7

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

Now we need to multiply them to find GCF: 3 × 3 = 9

See Also

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 63? (The answer is: 9). Select the first number (e.g. '54') and the second number (e.g. '63'). 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
39633
40631
41631
426321
43631
44631
45639
46631
47631
48633
49637
50631
51633
52631
53631
54639
55631
56637
57633
58631
59631
60633
61631
62631
636363
64631
65631
66633
67631
68631

FAQ

What is the Greatest common Divisor of 54 and 63?

GCF of 54 and 63 is 9

See Also