GCF for 24 and 204

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 24 and 204?

Answer: GCF of 24 and 204 is 12

(Twelve)

Finding GCF for 24 and 204 using all factors (divisors) listing

The first method to find GCF for numbers 24 and 204 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 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

So the Greatest Common Factor for 24 and 204 is 12

Finding GCF for 24 and 204 by Prime Factorization

The second method to find GCF for numbers 24 and 204 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 204: 2, 2, 3, 17

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

Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

Related Calculations

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 204? (The answer is: 12). Select the first number (e.g. '24') and the second number (e.g. '204'). 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
92043
102042
112041
1220412
132041
142042
152043
162044
1720417
182046
192041
202044
212043
222042
232041
2420412
252041
262042
272043
282044
292041
302046
312041
322044
332043
3420434
352041
3620412
372041
382042

FAQ

What is the Greatest common Divisor of 24 and 204?

GCF of 24 and 204 is 12

See Also