GCF (HCF) of 4 and 30

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Greatest Common Factor of
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What is the Greatest Common Divisor of 4 and 30?

Answer

GCF (HCF) of 4 and 30 is
2

Common factors: 1, 2

2 divides both: 4 ÷ 2 = 2, 30 ÷ 2 = 15 — and 2 and 15 share no factor but 1, so no larger number divides both.

4 = 22

30 = 2 × 3 × 5

Prime430Lowest power
22222
3—3—
5—5—

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

GCF = 2

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GCF Table

Number 1Number 2GCF
4102
4124
4131
4142
4151
4164
4182
4204
4211
4231
4244
4251
4262
4271
4284
4302
4324
4351
4364
4371
4404
4422
4444
4451
4484
4502
4524
4531
4571
4604

FAQ

What is the Greatest Common Divisor of 4 and 30?

GCF (HCF) of 4 and 30 is 2

How to find the GCF of 4 and 30?

You can find the GCF of 4 and 30 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 4 and 30 is 2.

What prime factors do 4 and 30 share?

The prime factorizations of 4 and 30 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 4/30?

Divide the numerator and the denominator by the GCF 2: 4 ÷ 2 = 2 and 30 ÷ 2 = 15. So 4/30 in lowest terms is 2/15.

See Also