GCF for 56 and 105

What is the Greatest common Divisor of 56 and 105?

Answer: GCF of 56 and 105 is 7

(Seven)

Finding GCF for 56 and 105 using all factors (divisors) listing

The first method to find GCF for numbers 56 and 105 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 105: 1, 3, 5, 7, 15, 21, 35, 105

So the Greatest Common Factor for 56 and 105 is 7

Finding GCF for 56 and 105 by Prime Factorization

The second method to find GCF for numbers 56 and 105 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 105: 3, 5, 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 105

GCF Table

Number 1Number 2GCF
411051
42105
431051
441051
45105
461051
471051
481053
491057
501055
511053
521051
531051
541053
551055
561057
571053
581051
591051
60105
611051
621051
63105
641051
651055
661053
671051
681051
691053
70105

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 105? (The answer is: 7). Select the first number (e.g. '56') and the second number (e.g. '105'). 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 Divisor of 56 and 105?

GCF of 56 and 105 is 7