GCF (HCF) of 26 and 42

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What is the Greatest Common Divisor of 26 and 42?

Answer

GCF (HCF) of 26 and 42 is
2

Common factors: 1, 2

2 divides both: 26 ÷ 2 = 13, 42 ÷ 2 = 21 — and 13 and 21 share no factor but 1, so no larger number divides both.

26 = 2 × 13

42 = 2 × 3 × 7

Prime2642Lowest power
2222
3—3—
7—7—
1313——

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

GCF = 2

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GCF Table

Number 1Number 2GCF
26271
26282
26302
26331
26342
26351
26362
26382
263913
26402
26422
26431
26442
26451
26462
26471
26482
26491
26502
26511
265226
26531
26542
266513
2611713

FAQ

What is the Greatest Common Divisor of 26 and 42?

GCF (HCF) of 26 and 42 is 2

How to find the GCF of 26 and 42?

You can find the GCF of 26 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 26 and 42 is 2.

What prime factors do 26 and 42 share?

The prime factorizations of 26 and 42 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 26/42?

Divide the numerator and the denominator by the GCF 2: 26 ÷ 2 = 13 and 42 ÷ 2 = 21. So 26/42 in lowest terms is 13/21.

See Also