GCF (HCF) of 26 and 39

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What is the Greatest Common Divisor of 26 and 39?

Answer

GCF (HCF) of 26 and 39 is
13

Common factors: 1, 13

13 divides both: 26 ÷ 13 = 2, 39 ÷ 13 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

26 = 2 × 13

39 = 3 × 13

Prime2639Lowest power
22——
3—3—
13131313

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

GCF = 13

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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 39?

GCF (HCF) of 26 and 39 is 13

How to find the GCF of 26 and 39?

You can find the GCF of 26 and 39 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 26 and 39 is 13.

What prime factors do 26 and 39 share?

The prime factorizations of 26 and 39 have 13 in common, and multiplying those shared primes gives 13 — exactly the greatest common factor.

How does the GCF reduce the fraction 26/39?

Divide the numerator and the denominator by the GCF 13: 26 ÷ 13 = 2 and 39 ÷ 13 = 3. So 26/39 in lowest terms is 2/3.

See Also