GCF for 20 and 350

What is the Greatest Common Factor of 20 and 350?

Answer: GCF of 20 and 350 is 10

(Ten)

Finding GCF for 20 and 350 using all factors (divisors) listing

The first method to find GCF for numbers 20 and 350 is to list all factors for both numbers and pick the highest common one:

All factors of 20: 1, 2, 4, 5, 10, 20

All factors of 350: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

So the Greatest Common Factor for 20 and 350 is 10

Finding GCF for 20 and 350 by Prime Factorization

The second method to find GCF for numbers 20 and 350 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 20: 2, 2, 5

All Prime Factors of 350: 2, 5, 5, 7

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

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
53505
63502
73507
83502
93501
1035010
113501
123502
133501
1435014
153505
163502
173501
183502
193501
2035010
213507
223502
233501
243502
2535025
263502
273501
2835014
293501
3035010
313501
323502
333501
343502

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 20 and 350? (The answer is: 10). Select the first number (e.g. '20') and the second number (e.g. '350'). 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 20 and 350?

GCF of 20 and 350 is 10