GCF for 30 and 190

What is the Greatest common Divisor of 30 and 190?

Answer: GCF of 30 and 190 is 10

(Ten)

Finding GCF for 30 and 190 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 190 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 190: 1, 2, 5, 10, 19, 38, 95, 190

So the Greatest Common Factor for 30 and 190 is 10

Finding GCF for 30 and 190 by Prime Factorization

The second method to find GCF for numbers 30 and 190 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 190: 2, 5, 19

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
151905
161902
171901
181902
1919019
20190
211901
221902
231901
241902
251905
261902
271901
281902
291901
3019010
311901
321902
331901
341902
351905
361902
371901
38190
391901
4019010
411901
421902
431901
441902

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 190? (The answer is: 10). Select the first number (e.g. '30') and the second number (e.g. '190'). 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 30 and 190?

GCF of 30 and 190 is 10