GCF for 56 and 68

What is the Greatest common Divisor of 56 and 68?

Answer: GCF of 56 and 68 is 4

(Four)

Finding GCF for 56 and 68 using all factors (divisors) listing

The first method to find GCF for numbers 56 and 68 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 68: 1, 2, 4, 17, 34, 68

So the Greatest Common Factor for 56 and 68 is 4

Finding GCF for 56 and 68 by Prime Factorization

The second method to find GCF for numbers 56 and 68 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 68: 2, 2, 17

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

Now we need to multiply them to find GCF: 2 × 2 = 4

Related Calculations

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 56 and 68? (The answer is: 4). Select the first number (e.g. '56') and the second number (e.g. '68'). 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
41681
42682
43681
44684
45681
46682
47681
48684
49681
50682
5168
5268
53681
54682
55681
5668
57681
58682
59681
60684
61681
62682
63681
64684
65681
66682
67681
686868
69681
70682

FAQ

What is the Greatest common Divisor of 56 and 68?

GCF of 56 and 68 is 4