GCF for 27 and 60

What is the Greatest Common Factor of 27 and 60?

Answer: GCF of 27 and 60 is 3

(Three)

Finding GCF for 27 and 60 using all factors (divisors) listing

The first method to find GCF for numbers 27 and 60 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 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

So the Greatest Common Factor for 27 and 60 is 3

Finding GCF for 27 and 60 by Prime Factorization

The second method to find GCF for numbers 27 and 60 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 60: 2, 2, 3, 5

As we can see there is only one Prime Factor common to both numbers. It is 3

So 3 is the Greatest Common Factor of 27 and 60

GCF Table

Number 1Number 2GCF
1260
13601
14602
1560
1660
17601
1860
19601
2060
21603
22602
23601
2460
2560
26602
27603
2860
29601
3060
31601
3260
33603
34602
3560
3660
37601
38602
39603
4060
41601

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 60? (The answer is: 3). Select the first number (e.g. '27') and the second number (e.g. '60'). 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 60?

GCF of 27 and 60 is 3