GCF for 30 and 530

What is the Greatest Common Factor of 30 and 530?

Answer: GCF of 30 and 530 is 10

(Ten)

Finding GCF for 30 and 530 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 530 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 530: 1, 2, 5, 10, 53, 106, 265, 530

So the Greatest Common Factor for 30 and 530 is 10

Finding GCF for 30 and 530 by Prime Factorization

The second method to find GCF for numbers 30 and 530 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 530: 2, 5, 53

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
155305
165302
175301
185302
195301
2053010
215301
225302
235301
245302
255305
265302
275301
285302
295301
3053010
315301
325302
335301
345302
355305
365302
375301
385302
395301
4053010
415301
425302
435301
445302

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 530? (The answer is: 10). Select the first number (e.g. '30') and the second number (e.g. '530'). 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 530?

GCF of 30 and 530 is 10