GCF for 105 and 231

What is the Greatest common Divisor of 105 and 231?

Answer: GCF of 105 and 231 is 21

(Twenty-one)

Finding GCF for 105 and 231 using all factors (divisors) listing

The first method to find GCF for numbers 105 and 231 is to list all factors for both numbers and pick the highest common one:

All factors of 105: 1, 3, 5, 7, 15, 21, 35, 105

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

So the Greatest Common Factor for 105 and 231 is 21

Finding GCF for 105 and 231 by Prime Factorization

The second method to find GCF for numbers 105 and 231 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 105: 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

GCF Table

Number 1Number 2GCF
902313
912317
922311
932313
942311
952311
962313
972311
982317
9923133
1002311
1012311
1022313
1032311
1042311
105231
1062311
1072311
1082313
1092311
11023111
1112313
1122317
1132311
1142313
1152311
1162311
1172313
1182311
1192317

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 105 and 231? (The answer is: 21). Select the first number (e.g. '105') 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

FAQ

What is the Greatest common Divisor of 105 and 231?

GCF of 105 and 231 is 21