GCF (HCF) of 21 and 46

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What is the Greatest Common Divisor of 21 and 46?

Answer

GCF (HCF) of 21 and 46 is
1

Common factors: 1

Only 1 divides both: 21 and 46 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 21 × 46 = 966.

21 = 3 × 7

46 = 2 × 23

Prime2146Lowest power
2—2—
33——
77——
23—23—

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

GCF = 1

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GCF Table

Number 1Number 2GCF
21221
21243
21251
21261
21273
21287
21303
21321
21333
21357
21363
21371
21381
21393
21401
214221
21441
21453
21461
21483
21497
21501
21513
21543
21567
21603
21693
21801
218421
2110521

FAQ

What is the Greatest Common Divisor of 21 and 46?

GCF (HCF) of 21 and 46 is 1

How to find the GCF of 21 and 46?

You can find the GCF of 21 and 46 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 21 and 46 is 1.

What prime factors do 21 and 46 share?

21 and 46 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 21/46?

Divide the numerator and the denominator by the GCF 1: 21 ÷ 1 = 21 and 46 ÷ 1 = 46. So 21/46 in lowest terms is 21/46.

Are 21 and 46 coprime?

Yes, 21 and 46 are coprime (relatively prime) because their Greatest Common Factor is 1.

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