GCF (HCF) of 26 and 52

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What is the Greatest Common Divisor of 26 and 52?

Answer

GCF (HCF) of 26 and 52 is
26

Common factors: 1, 2, 13, 26

26 divides 52 (52 ÷ 26 = 2), so the GCF is the smaller number itself.

26 = 2 × 13

52 = 22 × 13

Prime2652Lowest power
22222
13131313

GCF = 2 × 13 = 26

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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 52?

GCF (HCF) of 26 and 52 is 26

How to find the GCF of 26 and 52?

You can find the GCF of 26 and 52 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 26 and 52 is 26.

What prime factors do 26 and 52 share?

The prime factorizations of 26 and 52 have 2 × 13 in common, and multiplying those shared primes gives 26 — exactly the greatest common factor.

How does the GCF reduce the fraction 26/52?

Divide the numerator and the denominator by the GCF 26: 26 ÷ 26 = 1 and 52 ÷ 26 = 2. So 26/52 in lowest terms is 1/2.

See Also