GCF (HCF) of 23 and 46

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What is the Greatest Common Divisor of 23 and 46?

Answer

GCF (HCF) of 23 and 46 is
23

Common factors: 1, 23

23 divides 46 (46 ÷ 23 = 2), so the GCF is the smaller number itself.

23 — prime

46 = 2 × 23

Prime2346Lowest power
2—2—
23232323

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

GCF = 23

See Also

FAQ

What is the Greatest Common Divisor of 23 and 46?

GCF (HCF) of 23 and 46 is 23

How to find the GCF of 23 and 46?

You can find the GCF of 23 and 46 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 23 and 46 is 23.

What prime factors do 23 and 46 share?

The prime factorizations of 23 and 46 have 23 in common, and multiplying those shared primes gives 23 — exactly the greatest common factor.

How does the GCF reduce the fraction 23/46?

Divide the numerator and the denominator by the GCF 23: 23 ÷ 23 = 1 and 46 ÷ 23 = 2. So 23/46 in lowest terms is 1/2.