GCF for 36 and 44

What is the Greatest Common Factor of 36 and 44?

Answer: GCF of 36 and 44 is 4

(Four)

Finding GCF for 36 and 44 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 44 is to list all factors for both numbers and pick the highest common one:

All factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

All factors of 44: 1, 2, 4, 11, 22, 44

So the Greatest Common Factor for 36 and 44 is 4

Finding GCF for 36 and 44 by Prime Factorization

The second method to find GCF for numbers 36 and 44 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 36: 2, 2, 3, 3

All Prime Factors of 44: 2, 2, 11

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
2144
2244
23441
2444
25441
26442
27441
2844
29441
30442
31441
3244
3344
34442
35441
3644
37441
38442
39441
40444
41441
42442
43441
444444
45441
46442
47441
48444
49441
50442

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 36 and 44? (The answer is: 4). Select the first number (e.g. '36') and the second number (e.g. '44'). 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 36 and 44?

GCF of 36 and 44 is 4