GCF (HCF) of 8 and 32

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Greatest Common Factor of
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What is the Greatest Common Divisor of 8 and 32?

Answer

GCF (HCF) of 8 and 32 is
8

Common factors: 1, 2, 4, 8

8 divides 32 (32 ÷ 8 = 4), so the GCF is the smaller number itself.

8 = 23

32 = 25

Prime832Lowest power
2232523

GCF = 23 = 8

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GCF Table

Number 1Number 2GCF
8142
8151
8168
8171
8182
8191
8204
8211
8248
8251
8262
8271
8284
8291
8302
8328
8331
8351
8364
8408
8422
8431
8444
8451
8488
8491
8502
8524
8531
8568

FAQ

What is the Greatest Common Divisor of 8 and 32?

GCF (HCF) of 8 and 32 is 8

How to find the GCF of 8 and 32?

You can find the GCF of 8 and 32 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 32 is 8.

What prime factors do 8 and 32 share?

The prime factorizations of 8 and 32 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

How does the GCF reduce the fraction 8/32?

Divide the numerator and the denominator by the GCF 8: 8 ÷ 8 = 1 and 32 ÷ 8 = 4. So 8/32 in lowest terms is 1/4.

See Also