GCF (HCF) of 5 and 30

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Greatest Common Factor of
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What is the Greatest Common Divisor of 5 and 30?

Answer

GCF (HCF) of 5 and 30 is
5

Common factors: 1, 5

5 divides 30 (30 ÷ 5 = 6), so the GCF is the smaller number itself.

5 — prime

30 = 2 × 3 × 5

Prime530Lowest power
2—2—
3—3—
5555

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

GCF = 5

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GCF Table

Number 1Number 2GCF
5131
5141
5155
5161
5171
5181
5191
5205
5211
5221
5231
5241
5255
5271
5281
5305
5311
5331
5355
5361
5371
5405
5441
5455
5461
5471
5505
5531
5605
5655

FAQ

What is the Greatest Common Divisor of 5 and 30?

GCF (HCF) of 5 and 30 is 5

How to find the GCF of 5 and 30?

You can find the GCF of 5 and 30 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 5 and 30 is 5.

What prime factors do 5 and 30 share?

The prime factorizations of 5 and 30 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 5/30?

Divide the numerator and the denominator by the GCF 5: 5 ÷ 5 = 1 and 30 ÷ 5 = 6. So 5/30 in lowest terms is 1/6.

See Also