GCF (HCF) of 88 and 242

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What is the Greatest Common Divisor of 88 and 242?

Answer

GCF (HCF) of 88 and 242 is
22

Common factors: 1, 2, 11, 22

22 divides both: 88 ÷ 22 = 4, 242 ÷ 22 = 11 — and 4 and 11 share no factor but 1, so no larger number divides both.

88 = 23 × 11

242 = 2 × 112

Prime88242Lowest power
22322
111111211

GCF = 2 × 11 = 22

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GCF Table

Number 1Number 2GCF
882271
882284
882291
882302
8823111
882328
882331
882342
882351
882364
882371
882382
882391
882408
882411
8824222
882431
882444
882451
882462
882471
882488
882491
882502
882511
882524
8825311
882542
882551
882568

FAQ

What is the Greatest Common Divisor of 88 and 242?

GCF (HCF) of 88 and 242 is 22

How to find the GCF of 88 and 242?

You can find the GCF of 88 and 242 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 88 and 242 is 22.

What prime factors do 88 and 242 share?

The prime factorizations of 88 and 242 have 2 × 11 in common, and multiplying those shared primes gives 22 — exactly the greatest common factor.

How does the GCF reduce the fraction 88/242?

Divide the numerator and the denominator by the GCF 22: 88 ÷ 22 = 4 and 242 ÷ 22 = 11. So 88/242 in lowest terms is 4/11.

See Also