GCF (HCF) of 24 and 33

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Greatest Common Factor of
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What is the Greatest Common Divisor of 24 and 33?

Answer

GCF (HCF) of 24 and 33 is
3

Common factors: 1, 3

3 divides both: 24 ÷ 3 = 8, 33 ÷ 3 = 11 — and 8 and 11 share no factor but 1, so no larger number divides both.

24 = 23 × 3

33 = 3 × 11

Prime2433Lowest power
223——
3333
11—11—

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

GCF = 3

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GCF Table

Number 1Number 2GCF
2493
24168
24186
24251
24262
24273
24284
24306
24328
24333
24342
24351
243612
24371
24382
24393
24408
24411
24426
24431
24444
24453
24462
244824
24502
24524
24531
24546
24568
246012

FAQ

What is the Greatest Common Divisor of 24 and 33?

GCF (HCF) of 24 and 33 is 3

How to find the GCF of 24 and 33?

You can find the GCF of 24 and 33 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 33 is 3.

What prime factors do 24 and 33 share?

The prime factorizations of 24 and 33 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 24/33?

Divide the numerator and the denominator by the GCF 3: 24 ÷ 3 = 8 and 33 ÷ 3 = 11. So 24/33 in lowest terms is 8/11.

See Also