GCF (HCF) of 24 and 46

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What is the Greatest Common Divisor of 24 and 46?

Answer

GCF (HCF) of 24 and 46 is
2

Common factors: 1, 2

2 divides both: 24 ÷ 2 = 12, 46 ÷ 2 = 23 — and 12 and 23 share no factor but 1, so no larger number divides both.

24 = 23 × 3

46 = 2 × 23

Prime2446Lowest power
22322
33——
23—23—

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

GCF = 2

See Also

FAQ

What is the Greatest Common Divisor of 24 and 46?

GCF (HCF) of 24 and 46 is 2

How to find the GCF of 24 and 46?

You can find the GCF of 24 and 46 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 46 is 2.

What prime factors do 24 and 46 share?

The prime factorizations of 24 and 46 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 24/46?

Divide the numerator and the denominator by the GCF 2: 24 ÷ 2 = 12 and 46 ÷ 2 = 23. So 24/46 in lowest terms is 12/23.