GCF for 24 and 144

What is the Greatest common Divisor of 24 and 144?

Answer: GCF of 24 and 144 is 24

(Twenty-four)

Finding GCF for 24 and 144 using all factors (divisors) listing

The first method to find GCF for numbers 24 and 144 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 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

So the Greatest Common Factor for 24 and 144 is 24

Finding GCF for 24 and 144 by Prime Factorization

The second method to find GCF for numbers 24 and 144 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 144: 2, 2, 2, 2, 3, 3

As we can see there are Prime Factors common to both numbers: 2, 2, 2, 3

Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 = 24

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 24 and 144? (The answer is: 24). Select the first number (e.g. '24') and the second number (e.g. '144'). 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
91449
101442
111441
1214412
131441
141442
151443
1614416
171441
1814418
191441
201444
211443
221442
231441
24144
251441
261442
271449
281444
291441
301446
311441
3214416
331443
341442
351441
36144
371441
381442

FAQ

What is the Greatest common Divisor of 24 and 144?

GCF of 24 and 144 is 24