GCF (HCF) of 3 and 10

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Greatest Common Factor of
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What is the Greatest Common Divisor of 3 and 10?

Answer

GCF (HCF) of 3 and 10 is
1

Common factors: 1

Only 1 divides both: 3 and 10 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 3 × 10 = 30.

3 — prime

10 = 2 × 5

Prime310Lowest power
2—2—
33——
5—5—

— = 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
3191
3213
3221
3243
3251
3273
3303
3341
3363
3423
3453
3461
3471

FAQ

What is the Greatest Common Divisor of 3 and 10?

GCF (HCF) of 3 and 10 is 1

How to find the GCF of 3 and 10?

You can find the GCF of 3 and 10 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 3 and 10 is 1.

What prime factors do 3 and 10 share?

3 and 10 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 3/10?

Divide the numerator and the denominator by the GCF 1: 3 ÷ 1 = 3 and 10 ÷ 1 = 10. So 3/10 in lowest terms is 3/10.

Are 3 and 10 coprime?

Yes, 3 and 10 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also