GCF for 44, 66 and 121

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Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 44, 66 and 121?

Answer

GCF of 44, 66 and 121 is
11

Common factors: 1, 11

11 divides all three: 44 ÷ 11 = 4, 66 ÷ 11 = 6, 121 ÷ 11 = 11 — and 4, 6 and 11 have no factor but 1 common to all of them, so no larger number divides all three.

44 = 22 × 11

66 = 2 × 3 × 11

121 = 112

Prime4466121Lowest power
2222——
3—3——
11111111211

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

GCF = 11

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GCF Table

1st2nd3rdGCF
44661062
44661071
44661082
44661091
446611022
44661111
44661122
44661131
44661142
44661151
44661162
44661171
44661182
44661191
44661202
446612111
44661222
44661231
44661242
44661251
44661262
44661271
44661282
44661291
44661302
44661311
446613222
44661331
44661342
44661351

FAQ

What's the Greatest Common Factor (GCF) of 44, 66 and 121?

GCF of 44, 66 and 121 is 11

What prime factors do 44, 66 and 121 share?

All three factorizations contain 11, and multiplying those shared primes gives 11 — exactly the greatest common factor.

Can you get the GCF of 44, 66 and 121 two numbers at a time?

Yes. The GCF of 44 and 66 is 22, and the GCF of 22 and 121 is 11 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

How does the GCF simplify the ratio 44 : 66 : 121?

Divide every term by the GCF 11: 44 ÷ 11 = 4, 66 ÷ 11 = 6 and 121 ÷ 11 = 11. So 44 : 66 : 121 in lowest terms is 4 : 6 : 11, and no whole number other than 1 divides all three of those.

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