GCF for 36 and 76

What is the Greatest common Divisor of 36 and 76?

Answer: GCF of 36 and 76 is 4

(Four)

Finding GCF for 36 and 76 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 76 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 76: 1, 2, 4, 19, 38, 76

So the Greatest Common Factor for 36 and 76 is 4

Finding GCF for 36 and 76 by Prime Factorization

The second method to find GCF for numbers 36 and 76 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 76: 2, 2, 19

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

GCF Table

Number 1Number 2GCF
21761
22762
23761
2476
25761
26762
27761
28764
29761
30762
31761
32764
33761
34762
35761
36764
37761
3876
39761
40764
41761
42762
43761
44764
4576
46762
47761
48764
49761
50762

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 36 and 76? (The answer is: 4). Select the first number (e.g. '36') and the second number (e.g. '76'). 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 Divisor of 36 and 76?

GCF of 36 and 76 is 4