GCF for 30 and 300

What is the Greatest Common Factor of 30 and 300?

Answer: GCF of 30 and 300 is 30

(Thirty)

Finding GCF for 30 and 300 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 300 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 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

So the Greatest Common Factor for 30 and 300 is 30

Finding GCF for 30 and 300 by Prime Factorization

The second method to find GCF for numbers 30 and 300 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 300: 2, 2, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

GCF Table

Number 1Number 2GCF
1530015
163004
173001
183006
193001
2030020
213003
223002
233001
2430012
2530025
263002
273003
283004
293001
3030030
313001
323004
333003
343002
353005
3630012
373001
383002
393003
4030020
413001
423006
433001
443004

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 300? (The answer is: 30). Select the first number (e.g. '30') and the second number (e.g. '300'). 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 300?

GCF of 30 and 300 is 30