GCF for 27 and 90

What is the Greatest Common Factor of 27 and 90?

Answer: GCF of 27 and 90 is 9

(Nine)

Finding GCF for 27 and 90 using all factors (divisors) listing

The first method to find GCF for numbers 27 and 90 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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

So the Greatest Common Factor for 27 and 90 is 9

Finding GCF for 27 and 90 by Prime Factorization

The second method to find GCF for numbers 27 and 90 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 90: 2, 3, 3, 5

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

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

GCF Table

Number 1Number 2GCF
1290
13901
14902
1590
16902
17901
1890
19901
209010
21903
22902
23901
2490
2590
26902
2790
2890
29901
3090
31901
32902
33903
34902
3590
3690
37901
38902
39903
4090
41901

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 Factor of 27 and 90? (The answer is: 9). Select the first number (e.g. '27') and the second number (e.g. '90'). 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

FAQ

What is the Greatest Common Factor of 27 and 90?

GCF of 27 and 90 is 9