GCF for 60 and 510

What is the Greatest common Divisor of 60 and 510?

Answer: GCF of 60 and 510 is 30

(Thirty)

Finding GCF for 60 and 510 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 510 is to list all factors for both numbers and pick the highest common one:

All factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

All factors of 510: 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

So the Greatest Common Factor for 60 and 510 is 30

Finding GCF for 60 and 510 by Prime Factorization

The second method to find GCF for numbers 60 and 510 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 60: 2, 2, 3, 5

All Prime Factors of 510: 2, 3, 5, 17

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
4551015
465102
475101
485106
495101
5051010
5151051
525102
535101
545106
555105
565102
575103
585102
595101
6051030
615101
625102
635103
645102
655105
665106
675101
6851034
695103
7051010
715101
725106
735101
745102

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 Divisor of 60 and 510? (The answer is: 30). Select the first number (e.g. '60') and the second number (e.g. '510'). 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 Divisor of 60 and 510?

GCF of 60 and 510 is 30