GCF for 50 and 64

What is the Greatest Common Factor of 50 and 64?

Answer: GCF of 50 and 64 is 2

(Two)

Finding GCF for 50 and 64 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 64 is to list all factors for both numbers and pick the highest common one:

All factors of 50: 1, 2, 5, 10, 25, 50

All factors of 64: 1, 2, 4, 8, 16, 32, 64

So the Greatest Common Factor for 50 and 64 is 2

Finding GCF for 50 and 64 by Prime Factorization

The second method to find GCF for numbers 50 and 64 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 50: 2, 5, 5

All Prime Factors of 64: 2, 2, 2, 2, 2, 2

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 50 and 64

Related Calculations

GCF Table

Number 1Number 2GCF
35641
3664
37641
38642
39641
4064
41641
4264
43641
44644
45641
46642
47641
4864
4964
50642
51641
5264
53641
5464
55641
5664
57641
58642
59641
6064
61641
62642
63641
646464

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 50 and 64? (The answer is: 2). Select the first number (e.g. '50') and the second number (e.g. '64'). 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 50 and 64?

GCF of 50 and 64 is 2