GCF (HCF) of 26 and 46

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What is the Greatest Common Divisor of 26 and 46?

Answer

GCF (HCF) of 26 and 46 is
2

Common factors: 1, 2

2 divides both: 26 ÷ 2 = 13, 46 ÷ 2 = 23 — and 13 and 23 share no factor but 1, so no larger number divides both.

26 = 2 × 13

46 = 2 × 23

Prime2646Lowest power
2222
1313——
23—23—

— = 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 46?

GCF (HCF) of 26 and 46 is 2

How to find the GCF of 26 and 46?

You can find the GCF of 26 and 46 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 26 and 46 is 2.

What prime factors do 26 and 46 share?

The prime factorizations of 26 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 26/46?

Divide the numerator and the denominator by the GCF 2: 26 ÷ 2 = 13 and 46 ÷ 2 = 23. So 26/46 in lowest terms is 13/23.

See Also