GCF for 50 and 600

What is the Greatest Common Factor of 50 and 600?

Answer: GCF of 50 and 600 is 50

(Fifty)

Finding GCF for 50 and 600 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 600 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 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

So the Greatest Common Factor for 50 and 600 is 50

Finding GCF for 50 and 600 by Prime Factorization

The second method to find GCF for numbers 50 and 600 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 600: 2, 2, 2, 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
356005
3660012
376001
386002
396003
4060040
416001
426006
436001
446004
4560015
466002
476001
4860024
496001
5060050
516003
526004
536001
546006
556005
566008
576003
586002
596001
6060060
616001
626002
636003
646008

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 600? (The answer is: 50). Select the first number (e.g. '50') and the second number (e.g. '600'). 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 600?

GCF of 50 and 600 is 50