GCF for 30 and 705

What is the Greatest Common Factor of 30 and 705?

Answer: GCF of 30 and 705 is 15

(Fifteen)

Finding GCF for 30 and 705 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 705 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 705: 1, 3, 5, 15, 47, 141, 235, 705

So the Greatest Common Factor for 30 and 705 is 15

Finding GCF for 30 and 705 by Prime Factorization

The second method to find GCF for numbers 30 and 705 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 705: 3, 5, 47

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

Now we need to multiply them to find GCF: 3 × 5 = 15

GCF Table

Number 1Number 2GCF
1570515
167051
177051
187053
197051
207055
217053
227051
237051
247053
257055
267051
277053
287051
297051
3070515
317051
327051
337053
347051
357055
367053
377051
387051
397053
407055
417051
427053
437051
447051

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 705? (The answer is: 15). Select the first number (e.g. '30') and the second number (e.g. '705'). 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 705?

GCF of 30 and 705 is 15