GCF for 36 and 50

What is the Greatest common Divisor of 36 and 50?

Answer: GCF of 36 and 50 is 2

(Two)

Finding GCF for 36 and 50 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 50 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 50: 1, 2, 5, 10, 25, 50

So the Greatest Common Factor for 36 and 50 is 2

Finding GCF for 36 and 50 by Prime Factorization

The second method to find GCF for numbers 36 and 50 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 50: 2, 5, 5

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 36 and 50

See Also

GCF Table

Number 1Number 2GCF
2150
22502
23501
2450
2550
26502
27501
2850
29501
3050
31501
3250
33501
34502
3550
3650
37501
38502
39501
4050
41501
4250
43501
44502
4550
46502
47501
48502
49501
505050

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 50? (The answer is: 2). Select the first number (e.g. '36') and the second number (e.g. '50'). 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 50?

GCF of 36 and 50 is 2