GCF for 60 and 210

What is the Greatest common Divisor of 60 and 210?

Answer: GCF of 60 and 210 is 30

(Thirty)

Finding GCF for 60 and 210 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 210 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 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

So the Greatest Common Factor for 60 and 210 is 30

Finding GCF for 60 and 210 by Prime Factorization

The second method to find GCF for numbers 60 and 210 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 210: 2, 3, 5, 7

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

Related Calculations

GCF Table

Number 1Number 2GCF
4521015
462102
472101
482106
492107
5021010
512103
522102
532101
542106
552105
56210
572103
582102
592101
60210
612101
622102
63210
642102
652105
662106
672101
682102
692103
7021070
712101
722106
732101
742102

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 210? (The answer is: 30). Select the first number (e.g. '60') and the second number (e.g. '210'). 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 210?

GCF of 60 and 210 is 30