GCF for 50 and 54

What is the Greatest Common Factor of 50 and 54?

Answer: GCF of 50 and 54 is 2

(Two)

Finding GCF for 50 and 54 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 54 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 54: 1, 2, 3, 6, 9, 18, 27, 54

So the Greatest Common Factor for 50 and 54 is 2

Finding GCF for 50 and 54 by Prime Factorization

The second method to find GCF for numbers 50 and 54 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 54: 2, 3, 3, 3

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 54

Related Calculations

GCF Table

Number 1Number 2GCF
3554
3654
37541
38542
39543
40542
41541
4254
43541
44542
4554
46542
47541
4854
49541
50542
51543
52542
53541
545454
55541
56542
57543
58542
59541
60546
61541
62542
63549
64542

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 54? (The answer is: 2). Select the first number (e.g. '50') and the second number (e.g. '54'). 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 54?

GCF of 50 and 54 is 2