GCF (HCF) of 23 and 42

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What is the Greatest Common Divisor of 23 and 42?

Answer

GCF (HCF) of 23 and 42 is
1

Common factors: 1

Only 1 divides both: 23 and 42 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 23 × 42 = 966.

23 — prime

42 = 2 × 3 × 7

Prime2342Lowest power
2—2—
3—3—
7—7—
2323——

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

GCF = 1

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GCF Table

Number 1Number 2GCF
23241
23261
23291
23301
23321
23331
23391
23411
23421
23441
23451
234623
23511
23531
23561
23601
239223
231001

FAQ

What is the Greatest Common Divisor of 23 and 42?

GCF (HCF) of 23 and 42 is 1

How to find the GCF of 23 and 42?

You can find the GCF of 23 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 23 and 42 is 1.

What prime factors do 23 and 42 share?

23 and 42 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 23/42?

Divide the numerator and the denominator by the GCF 1: 23 ÷ 1 = 23 and 42 ÷ 1 = 42. So 23/42 in lowest terms is 23/42.

Are 23 and 42 coprime?

Yes, 23 and 42 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also