GCF for 4 and 10

What is the Greatest common Divisor of 4 and 10?

Answer: GCF of 4 and 10 is 2

(Two)

Finding GCF for 4 and 10 using all factors (divisors) listing

The first method to find GCF for numbers 4 and 10 is to list all factors for both numbers and pick the highest common one:

All factors of 4: 1, 2, 4

All factors of 10: 1, 2, 5, 10

So the Greatest Common Factor for 4 and 10 is 2

Finding GCF for 4 and 10 by Prime Factorization

The second method to find GCF for numbers 4 and 10 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 4: 2, 2

All Prime Factors of 10: 2, 5

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 4 and 10

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 4 and 10? (The answer is: 2). Select the first number (e.g. '4') and the second number (e.g. '10'). 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
1101
210
310
410
510
610
710
810
910
101010
11101
1210
13101
14102
1510
16102
17101
18102
19101
201010
21101
22102
23101
24102
25105
26102
27101
28102
29101
301010

FAQ

What is the Greatest common Divisor of 4 and 10?

GCF of 4 and 10 is 2