GCF (HCF) of 4 and 16

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Greatest Common Factor of
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What is the Greatest Common Divisor of 4 and 16?

Answer

GCF (HCF) of 4 and 16 is
4

Common factors: 1, 2, 4

4 divides 16 (16 ÷ 4 = 4), so the GCF is the smaller number itself.

4 = 22

16 = 24

Prime416Lowest power
2222422

GCF = 22 = 4

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GCF Table

Number 1Number 2GCF
422
431
451
462
471
484
491
4102
4124
4131
4142
4151
4164
4182
4204
4211
4231
4244
4251
4262
4271
4284
4324
4351
4371
4404
4444
4451
4484
4524

FAQ

What is the Greatest Common Divisor of 4 and 16?

GCF (HCF) of 4 and 16 is 4

How to find the GCF of 4 and 16?

You can find the GCF of 4 and 16 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 4 and 16 is 4.

What prime factors do 4 and 16 share?

The prime factorizations of 4 and 16 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 4/16?

Divide the numerator and the denominator by the GCF 4: 4 ÷ 4 = 1 and 16 ÷ 4 = 4. So 4/16 in lowest terms is 1/4.

See Also