GCF (HCF) of 150 and 275

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What is the Greatest Common Divisor of 150 and 275?

Answer

GCF (HCF) of 150 and 275 is
25

Common factors: 1, 5, 25

25 divides both: 150 ÷ 25 = 6, 275 ÷ 25 = 11 — and 6 and 11 share no factor but 1, so no larger number divides both.

150 = 2 × 3 × 52

275 = 52 × 11

Prime150275Lowest power
22——
33——
5525252
11—11—

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

GCF = 52 = 25

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GCF Table

Number 1Number 2GCF
15026010
1502613
1502622
1502631
1502646
1502655
1502662
1502673
1502682
1502691
15027030
1502711
1502722
1502733
1502742
15027525
1502766
1502771
1502782
1502793
15028010
1502811
1502826
1502831
1502842
15028515
1502862
1502871
1502886
1502891

FAQ

What is the Greatest Common Divisor of 150 and 275?

GCF (HCF) of 150 and 275 is 25

How to find the GCF of 150 and 275?

You can find the GCF of 150 and 275 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 275 is 25.

What prime factors do 150 and 275 share?

The prime factorizations of 150 and 275 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

How does the GCF reduce the fraction 150/275?

Divide the numerator and the denominator by the GCF 25: 150 ÷ 25 = 6 and 275 ÷ 25 = 11. So 150/275 in lowest terms is 6/11.

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