GCF for 30 and 490

What is the Greatest Common Factor of 30 and 490?

Answer: GCF of 30 and 490 is 10

(Ten)

Finding GCF for 30 and 490 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 490 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 490: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

So the Greatest Common Factor for 30 and 490 is 10

Finding GCF for 30 and 490 by Prime Factorization

The second method to find GCF for numbers 30 and 490 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 490: 2, 5, 7, 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
154905
164902
174901
184902
194901
2049010
214907
224902
234901
244902
254905
264902
274901
2849014
294901
3049010
314901
324902
334901
344902
3549035
364902
374901
384902
394901
4049010
414901
4249014
434901
444902

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 30 and 490? (The answer is: 10). Select the first number (e.g. '30') and the second number (e.g. '490'). 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 30 and 490?

GCF of 30 and 490 is 10