GCF (HCF) of 200 and 250

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Greatest Common Factor of
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What is the Greatest Common Divisor of 200 and 250?

Answer

GCF (HCF) of 200 and 250 is
50

Common factors: 1, 2, 5, 10, 25, 50

50 divides both: 200 ÷ 50 = 4, 250 ÷ 50 = 5 — and 4 and 5 share no factor but 1, so no larger number divides both.

200 = 23 × 52

250 = 2 × 53

Prime200250Lowest power
22322
5525352

GCF = 2 × 52 = 50

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GCF Table

Number 1Number 2GCF
2002355
2002364
2002371
2002382
2002391
20024040
2002411
2002422
2002431
2002444
2002455
2002462
2002471
2002488
2002491
20025050
2002511
2002524
2002531
2002542
2002555
2002568
2002571
2002582
2002591
20026020
2002611
2002622
2002631
2002648

FAQ

What is the Greatest Common Divisor of 200 and 250?

GCF (HCF) of 200 and 250 is 50

How to find the GCF of 200 and 250?

You can find the GCF of 200 and 250 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 200 and 250 is 50.

What prime factors do 200 and 250 share?

The prime factorizations of 200 and 250 have 2 × 5 × 5 in common, and multiplying those shared primes gives 50 — exactly the greatest common factor.

How does the GCF reduce the fraction 200/250?

Divide the numerator and the denominator by the GCF 50: 200 ÷ 50 = 4 and 250 ÷ 50 = 5. So 200/250 in lowest terms is 4/5.

See Also