GCF (HCF) of 231 and 273

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What is the Greatest Common Divisor of 231 and 273?

Answer

GCF (HCF) of 231 and 273 is
21

Common factors: 1, 3, 7, 21

21 divides both: 231 ÷ 21 = 11, 273 ÷ 21 = 13 — and 11 and 13 share no factor but 1, so no larger number divides both.

231 = 3 × 7 × 11

273 = 3 × 7 × 13

Prime231273Lowest power
3333
7777
1111——
13—13—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 3 × 7 = 21

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GCF Table

Number 1Number 2GCF
2312583
2312597
2312601
2312613
2312621
2312631
23126433
2312651
2312667
2312673
2312681
2312691
2312703
2312711
2312721
23127321
2312741
23127511
2312763
2312771
2312781
2312793
2312807
2312811
2312823
2312831
2312841
2312853
23128611
2312877

FAQ

What is the Greatest Common Divisor of 231 and 273?

GCF (HCF) of 231 and 273 is 21

How to find the GCF of 231 and 273?

You can find the GCF of 231 and 273 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 231 and 273 is 21.

What prime factors do 231 and 273 share?

The prime factorizations of 231 and 273 have 3 × 7 in common, and multiplying those shared primes gives 21 — exactly the greatest common factor.

How does the GCF reduce the fraction 231/273?

Divide the numerator and the denominator by the GCF 21: 231 ÷ 21 = 11 and 273 ÷ 21 = 13. So 231/273 in lowest terms is 11/13.

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