GCF for 32 and 36

What is the Greatest Common Factor of 32 and 36?

Answer: GCF of 32 and 36 is 4

(Four)

Finding GCF for 32 and 36 using all factors (divisors) listing

The first method to find GCF for numbers 32 and 36 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 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

So the Greatest Common Factor for 32 and 36 is 4

Finding GCF for 32 and 36 by Prime Factorization

The second method to find GCF for numbers 32 and 36 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 36: 2, 2, 3, 3

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

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

GCF Table

Number 1Number 2GCF
17361
1836
19361
2036
2136
22362
23361
2436
2536
2636
2736
2836
29361
3036
31361
3236
3336
3436
3536
363636
37361
38362
39363
40364
41361
42366
43361
44364
45369
46362

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 36? (The answer is: 4). Select the first number (e.g. '32') and the second number (e.g. '36'). 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 36?

GCF of 32 and 36 is 4