GCF (HCF) of 150 and 250

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What is the Greatest Common Divisor of 150 and 250?

Answer

GCF (HCF) of 150 and 250 is
50

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

50 divides both: 150 ÷ 50 = 3, 250 ÷ 50 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

150 = 2 × 3 × 52

250 = 2 × 53

Prime150250Lowest power
2222
33——
5525352

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

GCF = 2 × 52 = 50

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GCF Table

Number 1Number 2GCF
1502355
1502362
1502373
1502382
1502391
15024030
1502411
1502422
1502433
1502442
1502455
1502466
1502471
1502482
1502493
15025050
1502511
1502526
1502531
1502542
15025515
1502562
1502571
1502586
1502591
15026010
1502613
1502622
1502631
1502646

FAQ

What is the Greatest Common Divisor of 150 and 250?

GCF (HCF) of 150 and 250 is 50

How to find the GCF of 150 and 250?

You can find the GCF of 150 and 250 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 250 is 50.

What prime factors do 150 and 250 share?

The prime factorizations of 150 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 150/250?

Divide the numerator and the denominator by the GCF 50: 150 ÷ 50 = 3 and 250 ÷ 50 = 5. So 150/250 in lowest terms is 3/5.

See Also