GCF for 24 and 42

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 24 and 42?

Answer

GCF of 24 and 42 is 6

(Six)

Finding GCF for 24 and 42 using all factors (divisors) listing

The first method to find GCF for numbers 24 and 42 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 42: 1, 2, 3, 6, 7, 14, 21, 42

So the Greatest Common Factor for 24 and 42 is 6

Finding GCF for 24 and 42 by Prime Factorization

The second method to find GCF for numbers 24 and 42 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 42: 2, 3, 7

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

Now we need to multiply them to find GCF: 2 × 3 = 6

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 42? (The answer is: 6). Select the first number (e.g. '24') and the second number (e.g. '42'). 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
9423
10422
11421
12426
13421
144214
15423
16422
17421
18426
19421
20422
214221
22422
23421
24426
25421
26422
27423
284214
29421
30426
31421
32422
33423
34422
35427
36426
37421
38422

FAQ

What is the Greatest Common Divisor of 24 and 42?

GCF of 24 and 42 is 6

How to find the GCF of 24 and 42?

You can find the GCF of 24 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 42 is 6.