GCF for 10 and 340

What is the Greatest Common Factor of 10 and 340?

Answer: GCF of 10 and 340 is 10

(Ten)

Finding GCF for 10 and 340 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 340 is to list all factors for both numbers and pick the highest common one:

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

All factors of 340: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

So the Greatest Common Factor for 10 and 340 is 10

Finding GCF for 10 and 340 by Prime Factorization

The second method to find GCF for numbers 10 and 340 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 10: 2, 5

All Prime Factors of 340: 2, 2, 5, 17

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

Related Calculations

GCF Table

Number 1Number 2GCF
13401
23402
33401
43404
53405
63402
73401
83404
93401
1034010
113401
123404
133401
143402
153405
163404
1734017
183402
193401
2034020
213401
223402
233401
243404
253405
263402
273401
283404
293401
3034010

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 10 and 340? (The answer is: 10). Select the first number (e.g. '10') and the second number (e.g. '340'). 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 10 and 340?

GCF of 10 and 340 is 10