GCF for 14 and 24

What is the Greatest common Divisor of 14 and 24?

Answer: GCF of 14 and 24 is 2

(Two)

Finding GCF for 14 and 24 using all factors (divisors) listing

The first method to find GCF for numbers 14 and 24 is to list all factors for both numbers and pick the highest common one:

All factors of 14: 1, 2, 7, 14

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

So the Greatest Common Factor for 14 and 24 is 2

Finding GCF for 14 and 24 by Prime Factorization

The second method to find GCF for numbers 14 and 24 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 14: 2, 7

All Prime Factors of 24: 2, 2, 2, 3

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 14 and 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 14 and 24? (The answer is: 2). Select the first number (e.g. '14') and the second number (e.g. '24'). 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
1241
2242
324
424
524
624
724
824
924
1024
11241
1224
13241
1424
1524
1624
1724
1824
1924
2024
2124
2224
23241
242424
25241
26242
27243
28244
29241
30246

FAQ

What is the Greatest common Divisor of 14 and 24?

GCF of 14 and 24 is 2