GCF for 56 and 63

What is the Greatest Common Factor of 56 and 63?

Answer: GCF of 56 and 63 is 7

(Seven)

Finding GCF for 56 and 63 using all factors (divisors) listing

The first method to find GCF for numbers 56 and 63 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 63: 1, 3, 7, 9, 21, 63

So the Greatest Common Factor for 56 and 63 is 7

Finding GCF for 56 and 63 by Prime Factorization

The second method to find GCF for numbers 56 and 63 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 63: 3, 3, 7

As we can see there is only one Prime Factor common to both numbers. It is 7

So 7 is the Greatest Common Factor of 56 and 63

GCF Table

Number 1Number 2GCF
41631
4263
43631
44631
4563
46631
47631
48633
4963
50631
51633
52631
53631
5463
5563
5663
57633
58631
59631
60633
61631
62631
636363
64631
65631
66633
67631
68631
69633
70637

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 63? (The answer is: 7). Select the first number (e.g. '56') and the second number (e.g. '63'). 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 63?

GCF of 56 and 63 is 7