GCF for 231 and 273

What is the Greatest common Divisor of 231 and 273?

Answer: GCF of 231 and 273 is 21

(Twenty-one)

Finding GCF for 231 and 273 using all factors (divisors) listing

The first method to find GCF for numbers 231 and 273 is to list all factors for both numbers and pick the highest common one:

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

All factors of 273: 1, 3, 7, 13, 21, 39, 91, 273

So the Greatest Common Factor for 231 and 273 is 21

Finding GCF for 231 and 273 by Prime Factorization

The second method to find GCF for numbers 231 and 273 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 231: 3, 7, 11

All Prime Factors of 273: 3, 7, 13

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
2162733
2172737
2182731
2192733
2202731
22127313
2222733
2232731
2242737
2252733
2262731
2272731
2282733
2292731
2302731
231273
2322731
2332731
23427339
2352731
2362731
2372733
2382737
2392731
2402733
2412731
2422731
2432733
2442731
2452737

`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`