GCF for 56 and 82

What is the Greatest Common Factor of 56 and 82?

Answer: GCF of 56 and 82 is 2

(Two)

Finding GCF for 56 and 82 using all factors (divisors) listing

The first method to find GCF for numbers 56 and 82 is to list all factors for both numbers and pick the highest common one:

All factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

All factors of 82: 1, 2, 41, 82

So the Greatest Common Factor for 56 and 82 is 2

Finding GCF for 56 and 82 by Prime Factorization

The second method to find GCF for numbers 56 and 82 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 56: 2, 2, 2, 7

All Prime Factors of 82: 2, 41

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 56 and 82

GCF Table

Number 1Number 2GCF
418241
42822
43821
44822
45821
46822
47821
48822
49821
50822
51821
52822
53821
54822
55821
56822
57821
58822
59821
60822
61821
62822
63821
64822
65821
66822
67821
68822
69821
70822

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 56 and 82? (The answer is: 2). Select the first number (e.g. '56') and the second number (e.g. '82'). 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 56 and 82?

GCF of 56 and 82 is 2