GCF for 24 and 74

What is the Greatest Common Factor of 24 and 74?

Answer: GCF of 24 and 74 is 2

(Two)

Finding GCF for 24 and 74 using all factors (divisors) listing

The first method to find GCF for numbers 24 and 74 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 74: 1, 2, 37, 74

So the Greatest Common Factor for 24 and 74 is 2

Finding GCF for 24 and 74 by Prime Factorization

The second method to find GCF for numbers 24 and 74 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 74: 2, 37

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 24 and 74

GCF Table

Number 1Number 2GCF
9741
10742
11741
12742
13741
14742
15741
16742
17741
18742
19741
20742
21741
22742
23741
24742
25741
26742
27741
28742
29741
30742
31741
32742
33741
34742
35741
36742
3774
38742

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 Factor of 24 and 74? (The answer is: 2). Select the first number (e.g. '24') and the second number (e.g. '74'). 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 Factor of 24 and 74?

GCF of 24 and 74 is 2