GCF for 36 and 57

What is the Greatest Common Factor of 36 and 57?

Answer: GCF of 36 and 57 is 3

(Three)

Finding GCF for 36 and 57 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 57 is to list all factors for both numbers and pick the highest common one:

All factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

All factors of 57: 1, 3, 19, 57

So the Greatest Common Factor for 36 and 57 is 3

Finding GCF for 36 and 57 by Prime Factorization

The second method to find GCF for numbers 36 and 57 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 36: 2, 2, 3, 3

All Prime Factors of 57: 3, 19

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 36 and 57

Related Calculations

GCF Table

Number 1Number 2GCF
21573
22571
23571
24573
25571
26571
27573
28571
29571
30573
31571
32571
33573
34571
35571
36573
37571
3857
39573
40571
41571
42573
43571
44571
45573
46571
47571
48573
49571
50571

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 36 and 57? (The answer is: 3). Select the first number (e.g. '36') and the second number (e.g. '57'). 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 36 and 57?

GCF of 36 and 57 is 3