GCF for 24 and 112

What is the Greatest common Divisor of 24 and 112?

Answer: GCF of 24 and 112 is 8

(Eight)

Finding GCF for 24 and 112 using all factors (divisors) listing

The first method to find GCF for numbers 24 and 112 is to list all factors for both numbers and pick the highest common one:

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

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

So the Greatest Common Factor for 24 and 112 is 8

Finding GCF for 24 and 112 by Prime Factorization

The second method to find GCF for numbers 24 and 112 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 24: 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

Now we need to multiply them to find GCF: 2 × 2 × 2 = 8

GCF Table

Number 1Number 2GCF
91121
101122
111121
121124
131121
1411214
151121
1611216
171121
181122
191121
201124
211127
221122
231121
241128
251121
261122
271121
2811228
291121
301122
311121
3211216
331121
341122
351127
361124
371121
381122

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 24 and 112? (The answer is: 8). Select the first number (e.g. '24') 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 24 and 112?

GCF of 24 and 112 is 8