GCF for 27 and 54

What is the Greatest common Divisor of 27 and 54?

Answer: GCF of 27 and 54 is 27

(Twenty-seven)

Finding GCF for 27 and 54 using all factors (divisors) listing

The first method to find GCF for numbers 27 and 54 is to list all factors for both numbers and pick the highest common one:

All factors of 27: 1, 3, 9, 27

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

So the Greatest Common Factor for 27 and 54 is 27

Finding GCF for 27 and 54 by Prime Factorization

The second method to find GCF for numbers 27 and 54 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 27: 3, 3, 3

All Prime Factors of 54: 2, 3, 3, 3

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

Now we need to multiply them to find GCF: 3 × 3 × 3 = 27

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 27 and 54? (The answer is: 27). Select the first number (e.g. '27') 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

GCF Table

Number 1Number 2GCF
1254
1354
14542
15543
1654
17541
1854
19541
20542
2154
22542
23541
2454
25541
2654
2754
28542
29541
3054
31541
3254
33543
34542
3554
3654
37541
38542
39543
40542
41541

FAQ

What is the Greatest common Divisor of 27 and 54?

GCF of 27 and 54 is 27