GCF for 50 and 500

What is the Greatest Common Factor of 50 and 500?

Answer: GCF of 50 and 500 is 50

(Fifty)

Finding GCF for 50 and 500 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 500 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 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

So the Greatest Common Factor for 50 and 500 is 50

Finding GCF for 50 and 500 by Prime Factorization

The second method to find GCF for numbers 50 and 500 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 500: 2, 2, 5, 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
355005
365004
375001
385002
395001
4050020
415001
425002
435001
445004
455005
465002
475001
485004
495001
5050050
515001
525004
535001
545002
555005
565004
575001
585002
595001
6050020
615001
625002
635001
645004

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 500? (The answer is: 50). Select the first number (e.g. '50') and the second number (e.g. '500'). 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 500?

GCF of 50 and 500 is 50