GCF for 210 and 231

What is the Greatest common Divisor of 210 and 231?

Answer: GCF of 210 and 231 is 21

(Twenty-one)

Finding GCF for 210 and 231 using all factors (divisors) listing

The first method to find GCF for numbers 210 and 231 is to list all factors for both numbers and pick the highest common one:

All factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

All factors of 231: 1, 3, 7, 11, 21, 33, 77, 231

So the Greatest Common Factor for 210 and 231 is 21

Finding GCF for 210 and 231 by Prime Factorization

The second method to find GCF for numbers 210 and 231 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 210: 2, 3, 5, 7

All Prime Factors of 231: 3, 7, 11

As we can see there are Prime Factors common to both numbers: 3, 7

Now we need to multiply them to find GCF: 3 × 7 = 21

See Also

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 210 and 231? (The answer is: 21). Select the first number (e.g. '210') and the second number (e.g. '231'). 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

GCF Table

Number 1Number 2GCF
1952313
1962317
1972311
19823133
1992311
2002311
2012313
2022311
2032317
2042313
2052311
2062311
2072313
2082311
20923111
210231
2112311
2122311
2132313
2142311
2152311
2162313
2172317
2182311
2192313
22023111
2212311
2222313
2232311
2242317

FAQ

What is the Greatest common Divisor of 210 and 231?

GCF of 210 and 231 is 21