GCF for 50 and 100

What is the Greatest common Divisor of 50 and 100?

Answer: GCF of 50 and 100 is 50

(Fifty)

Finding GCF for 50 and 100 using all factors (divisors) listing

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

So the Greatest Common Factor for 50 and 100 is 50

Finding GCF for 50 and 100 by Prime Factorization

The second method to find GCF for numbers 50 and 100 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 100: 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

GCF Table

Number 1Number 2GCF
35100
36100
371001
38100
391001
40100
411001
42100
431001
44100
45100
461002
471001
48100
49100
50100
511001
52100
531001
54100
55100
56100
57100
581002
59100
60100
611001
621002
63100
64100

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 100? (The answer is: 50). Select the first number (e.g. '50') and the second number (e.g. '100'). 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 100?

GCF of 50 and 100 is 50