GCF for 50 and 900

What is the Greatest common Divisor of 50 and 900?

Answer: GCF of 50 and 900 is 50

(Fifty)

Finding GCF for 50 and 900 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 900 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 900: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

So the Greatest Common Factor for 50 and 900 is 50

Finding GCF for 50 and 900 by Prime Factorization

The second method to find GCF for numbers 50 and 900 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 900: 2, 2, 3, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 5, 5

Now we need to multiply them to find GCF: 2 × 5 × 5 = 50

GCF Table

Number 1Number 2GCF
359005
3690036
379001
389002
399003
4090020
419001
429006
439001
449004
4590045
469002
479001
4890012
499001
5090050
519003
529004
539001
5490018
559005
569004
579003
589002
599001
6090060
619001
629002
639009
649004

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 50 and 900? (The answer is: 50). Select the first number (e.g. '50') and the second number (e.g. '900'). 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 50 and 900?

GCF of 50 and 900 is 50