GCF (HCF) of 24 and 210

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What is the Greatest Common Divisor of 24 and 210?

Answer

GCF (HCF) of 24 and 210 is
6

Common factors: 1, 2, 3, 6

6 divides both: 24 ÷ 6 = 4, 210 ÷ 6 = 35 — and 4 and 35 share no factor but 1, so no larger number divides both.

24 = 23 × 3

210 = 2 × 3 × 5 × 7

Prime24210Lowest power
22322
3333
5—5—
7—7—

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

GCF = 2 × 3 = 6

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GCF Table

Number 1Number 2GCF
243612
24371
24382
24393
24408
24411
24426
24431
24444
24453
24462
244824
24502
24524
24531
24546
24568
246012
24648
247224
24808
248412
24888
24906
249624
241004
241048
2412024
242106
241,0008

FAQ

What is the Greatest Common Divisor of 24 and 210?

GCF (HCF) of 24 and 210 is 6

How to find the GCF of 24 and 210?

You can find the GCF of 24 and 210 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 210 is 6.

What prime factors do 24 and 210 share?

The prime factorizations of 24 and 210 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 24/210?

Divide the numerator and the denominator by the GCF 6: 24 ÷ 6 = 4 and 210 ÷ 6 = 35. So 24/210 in lowest terms is 4/35.

See Also