GCF for 32 and 34

What is the Greatest Common Factor of 32 and 34?

Answer: GCF of 32 and 34 is 2

(Two)

Finding GCF for 32 and 34 using all factors (divisors) listing

The first method to find GCF for numbers 32 and 34 is to list all factors for both numbers and pick the highest common one:

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

All factors of 34: 1, 2, 17, 34

So the Greatest Common Factor for 32 and 34 is 2

Finding GCF for 32 and 34 by Prime Factorization

The second method to find GCF for numbers 32 and 34 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 32: 2, 2, 2, 2, 2

All Prime Factors of 34: 2, 17

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 32 and 34

Related Calculations

GCF Table

Number 1Number 2GCF
1734
1834
19341
20342
21341
2234
23341
2434
25341
2634
27341
2834
2934
30342
31341
3234
33341
343434
35341
36342
37341
38342
39341
40342
41341
42342
43341
44342
45341
46342

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 32 and 34? (The answer is: 2). Select the first number (e.g. '32') and the second number (e.g. '34'). 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 32 and 34?

GCF of 32 and 34 is 2