GCF (HCF) of 3 and 18

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Greatest Common Factor of
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What is the Greatest Common Divisor of 3 and 18?

Answer

GCF (HCF) of 3 and 18 is
3

Common factors: 1, 3

3 divides 18 (18 ÷ 3 = 6), so the GCF is the smaller number itself.

3 — prime

18 = 2 × 32

Prime318Lowest power
2—2—
33323

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

GCF = 3

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GCF Table

Number 1Number 2GCF
321
333
341
351
363
371
381
393
3101
3111
3123
3141
3153
3161
3171
3183
3191
3213
3221
3243
3251
3273
3303
3341
3363
3423
3453
3461
3471
3483

FAQ

What is the Greatest Common Divisor of 3 and 18?

GCF (HCF) of 3 and 18 is 3

How to find the GCF of 3 and 18?

You can find the GCF of 3 and 18 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 3 and 18 is 3.

What prime factors do 3 and 18 share?

The prime factorizations of 3 and 18 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 3/18?

Divide the numerator and the denominator by the GCF 3: 3 ÷ 3 = 1 and 18 ÷ 3 = 6. So 3/18 in lowest terms is 1/6.

See Also