GCF for 12 and 64

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 12 and 64?

Answer: GCF of 12 and 64 is 4

(Four)

Finding GCF for 12 and 64 using all factors (divisors) listing

The first method to find GCF for numbers 12 and 64 is to list all factors for both numbers and pick the highest common one:

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

All factors of 64: 1, 2, 4, 8, 16, 32, 64

So the Greatest Common Factor for 12 and 64 is 4

Finding GCF for 12 and 64 by Prime Factorization

The second method to find GCF for numbers 12 and 64 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 12: 2, 2, 3

All Prime Factors of 64: 2, 2, 2, 2, 2, 2

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

Now we need to multiply them to find GCF: 2 × 2 = 4

Related Calculations

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 12 and 64? (The answer is: 4). Select the first number (e.g. '12') and the second number (e.g. '64'). 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
1641
2642
3641
4644
5641
6642
7641
8648
9641
10642
11641
12644
13641
14642
15641
166416
17641
18642
19641
20644
21641
22642
23641
24648
25641
26642
27641
28644
29641
30642

FAQ

What is the Greatest common Divisor of 12 and 64?

GCF of 12 and 64 is 4

See Also