GCF (HCF) of 54 and 250

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What is the Greatest Common Divisor of 54 and 250?

Answer

GCF (HCF) of 54 and 250 is
2

Common factors: 1, 2

2 divides both: 54 ÷ 2 = 27, 250 ÷ 2 = 125 — and 27 and 125 share no factor but 1, so no larger number divides both.

54 = 2 × 33

250 = 2 × 53

Prime54250Lowest power
2222
333——
5—53—

— = 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
542351
542362
542373
542382
542391
542406
542411
542422
5424327
542442
542451
542466
542471
542482
542493
542502
542511
5425218
542531
542542
542553
542562
542571
542586
542591
542602
542619
542622
542631
542646

FAQ

What is the Greatest Common Divisor of 54 and 250?

GCF (HCF) of 54 and 250 is 2

How to find the GCF of 54 and 250?

You can find the GCF of 54 and 250 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 250 is 2.

What prime factors do 54 and 250 share?

The prime factorizations of 54 and 250 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 54/250?

Divide the numerator and the denominator by the GCF 2: 54 ÷ 2 = 27 and 250 ÷ 2 = 125. So 54/250 in lowest terms is 27/125.

See Also