GCF for 48 and 112

What is the Greatest common Divisor of 48 and 112?

Answer: GCF of 48 and 112 is 16

(Sixteen)

Finding GCF for 48 and 112 using all factors (divisors) listing

The first method to find GCF for numbers 48 and 112 is to list all factors for both numbers and pick the highest common one:

All factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

All factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

So the Greatest Common Factor for 48 and 112 is 16

Finding GCF for 48 and 112 by Prime Factorization

The second method to find GCF for numbers 48 and 112 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 48: 2, 2, 2, 2, 3

All Prime Factors of 112: 2, 2, 2, 2, 7

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 = 16

GCF Table

Number 1Number 2GCF
331121
341122
351127
361124
371121
381122
391121
401128
411121
4211214
431121
441124
451121
461122
471121
48112
491127
501122
511121
521124
531121
541122
551121
56112
571121
581122
591121
601124
611121
621122

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 48 and 112? (The answer is: 16). Select the first number (e.g. '48') and the second number (e.g. '112'). 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 48 and 112?

GCF of 48 and 112 is 16