GCF for 18 and 54

What is the Greatest common Divisor of 18 and 54?

Answer: GCF of 18 and 54 is 18

(Eighteen)

Finding GCF for 18 and 54 using all factors (divisors) listing

The first method to find GCF for numbers 18 and 54 is to list all factors for both numbers and pick the highest common one:

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

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

So the Greatest Common Factor for 18 and 54 is 18

Finding GCF for 18 and 54 by Prime Factorization

The second method to find GCF for numbers 18 and 54 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 18: 2, 3, 3

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

As we can see there are Prime Factors common to both numbers: 2, 3, 3

Now we need to multiply them to find GCF: 2 × 3 × 3 = 18

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 18 and 54? (The answer is: 18). Select the first number (e.g. '18') 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
3543
4542
5541
654
7541
8542
954
10542
11541
1254
1354
14542
15543
1654
17541
1854
19541
20542
2154
22542
23541
2454
25541
2654
2754
28542
29541
3054
31541
3254

FAQ

What is the Greatest common Divisor of 18 and 54?

GCF of 18 and 54 is 18