GCF for 30 and 170

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 30 and 170?

Answer: GCF of 30 and 170 is 10

(Ten)

Finding GCF for 30 and 170 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 170 is to list all factors for both numbers and pick the highest common one:

All factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

All factors of 170: 1, 2, 5, 10, 17, 34, 85, 170

So the Greatest Common Factor for 30 and 170 is 10

Finding GCF for 30 and 170 by Prime Factorization

The second method to find GCF for numbers 30 and 170 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 30: 2, 3, 5

All Prime Factors of 170: 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

See Also

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 30 and 170? (The answer is: 10). Select the first number (e.g. '30') and the second number (e.g. '170'). 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
151705
161702
1717017
181702
191701
2017010
211701
221702
231701
241702
251705
261702
271701
281702
291701
3017010
311701
321702
331701
3417034
351705
361702
371701
381702
391701
4017010
411701
421702
431701
441702

FAQ

What is the Greatest common Divisor of 30 and 170?

GCF of 30 and 170 is 10

See Also