GCF for 50 and 200

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 50 and 200?

Answer: GCF of 50 and 200 is 50

(Fifty)

Finding GCF for 50 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 200 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 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

So the Greatest Common Factor for 50 and 200 is 50

Finding GCF for 50 and 200 by Prime Factorization

The second method to find GCF for numbers 50 and 200 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 200: 2, 2, 2, 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

Related Calculations

See Also

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 200? (The answer is: 50). Select the first number (e.g. '50') and the second number (e.g. '200'). 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
352005
362004
372001
382002
392001
4020040
412001
422002
432001
442004
452005
462002
472001
482008
492001
5020050
512001
522004
532001
542002
552005
562008
572001
582002
592001
6020020
612001
622002
632001
642008

FAQ

What is the Greatest common Divisor of 50 and 200?

GCF of 50 and 200 is 50

See Also