GCF for 10 and 290

What is the Greatest Common Factor of 10 and 290?

Answer: GCF of 10 and 290 is 10

(Ten)

Finding GCF for 10 and 290 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 290 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 290: 1, 2, 5, 10, 29, 58, 145, 290

So the Greatest Common Factor for 10 and 290 is 10

Finding GCF for 10 and 290 by Prime Factorization

The second method to find GCF for numbers 10 and 290 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 290: 2, 5, 29

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
12901
22902
32901
42902
52905
62902
72901
82902
92901
1029010
112901
122902
132901
142902
152905
162902
172901
182902
192901
2029010
212901
222902
232901
242902
252905
262902
272901
282902
2929029
3029010

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 290? (The answer is: 10). Select the first number (e.g. '10') and the second number (e.g. '290'). 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 290?

GCF of 10 and 290 is 10