GCF for 36 and 80

What is the Greatest common Divisor of 36 and 80?

Answer: GCF of 36 and 80 is 4

(Four)

Finding GCF for 36 and 80 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 80 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 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

So the Greatest Common Factor for 36 and 80 is 4

Finding GCF for 36 and 80 by Prime Factorization

The second method to find GCF for numbers 36 and 80 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 80: 2, 2, 2, 2, 5

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

GCF Table

Number 1Number 2GCF
21801
22802
23801
2480
2580
26802
27801
28804
29801
3080
31801
3280
33801
34802
3580
3680
37801
38802
39801
4080
41801
42802
43801
44804
4580
46802
47801
4880
49801
5080

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 80? (The answer is: 4). Select the first number (e.g. '36') and the second number (e.g. '80'). 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 80?

GCF of 36 and 80 is 4