GCF for 30 and 960

What is the Greatest Common Factor of 30 and 960?

Answer: GCF of 30 and 960 is 30

(Thirty)

Finding GCF for 30 and 960 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 960 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 960: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

So the Greatest Common Factor for 30 and 960 is 30

Finding GCF for 30 and 960 by Prime Factorization

The second method to find GCF for numbers 30 and 960 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 960: 2, 2, 2, 2, 2, 2, 3, 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
1596015
1696016
179601
189606
199601
2096020
219603
229602
239601
2496024
259605
269602
279603
289604
299601
3096030
319601
3296032
339603
349602
359605
3696012
379601
389602
399603
4096040
419601
429606
439601
449604

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 960? (The answer is: 30). Select the first number (e.g. '30') and the second number (e.g. '960'). 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 960?

GCF of 30 and 960 is 30