GCF (HCF) of 3 and 14

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Greatest Common Factor of
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What is the Greatest Common Divisor of 3 and 14?

Answer

GCF (HCF) of 3 and 14 is
1

Common factors: 1

Only 1 divides both: 3 and 14 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 3 × 14 = 42.

3 — prime

14 = 2 × 7

Prime314Lowest power
2—2—
33——
7—7—

— = 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
311
321
333
341
351
363
371
381
393
3101
3111
3123
3141
3153
3161
3171
3183
3213
3221
3243
3251
3273
3291
3303
3341
3363
3423
3461
3471
3483

FAQ

What is the Greatest Common Divisor of 3 and 14?

GCF (HCF) of 3 and 14 is 1

How to find the GCF of 3 and 14?

You can find the GCF of 3 and 14 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 3 and 14 is 1.

What prime factors do 3 and 14 share?

3 and 14 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 3/14?

Divide the numerator and the denominator by the GCF 1: 3 ÷ 1 = 3 and 14 ÷ 1 = 14. So 3/14 in lowest terms is 3/14.

Are 3 and 14 coprime?

Yes, 3 and 14 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also