GCF (HCF) of 3 and 24

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Greatest Common Factor of
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What is the Greatest Common Divisor of 3 and 24?

Answer

GCF (HCF) of 3 and 24 is
3

Common factors: 1, 3

3 divides 24 (24 ÷ 3 = 8), so the GCF is the smaller number itself.

3 — prime

24 = 23 × 3

Prime324Lowest power
2—23—
3333

— = 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
351
363
371
381
393
3101
3111
3123
3141
3153
3161
3171
3183
3213
3221
3243
3251
3273
3291
3303
3341
3363
3423
3453
3461
3471
3483
3513
3543
3551

FAQ

What is the Greatest Common Divisor of 3 and 24?

GCF (HCF) of 3 and 24 is 3

How to find the GCF of 3 and 24?

You can find the GCF of 3 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 3 and 24 is 3.

What prime factors do 3 and 24 share?

The prime factorizations of 3 and 24 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 3/24?

Divide the numerator and the denominator by the GCF 3: 3 ÷ 3 = 1 and 24 ÷ 3 = 8. So 3/24 in lowest terms is 1/8.

See Also