GCF (HCF) of 150 and 225

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What is the Greatest Common Divisor of 150 and 225?

Answer

GCF (HCF) of 150 and 225 is
75

Common factors: 1, 3, 5, 15, 25, 75

75 divides both: 150 ÷ 75 = 2, 225 ÷ 75 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

150 = 2 × 3 × 52

225 = 32 × 52

Prime150225Lowest power
22——
33323
5525252

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

GCF = 3 × 52 = 75

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GCF Table

Number 1Number 2GCF
15021030
1502111
1502122
1502133
1502142
1502155
1502166
1502171
1502182
1502193
15022010
1502211
1502226
1502231
1502242
15022575
1502262
1502271
1502286
1502291
15023010
1502313
1502322
1502331
1502346
1502355
1502362
1502373
1502382
1502391

FAQ

What is the Greatest Common Divisor of 150 and 225?

GCF (HCF) of 150 and 225 is 75

How to find the GCF of 150 and 225?

You can find the GCF of 150 and 225 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 225 is 75.

What prime factors do 150 and 225 share?

The prime factorizations of 150 and 225 have 3 × 5 × 5 in common, and multiplying those shared primes gives 75 — exactly the greatest common factor.

How does the GCF reduce the fraction 150/225?

Divide the numerator and the denominator by the GCF 75: 150 ÷ 75 = 2 and 225 ÷ 75 = 3. So 150/225 in lowest terms is 2/3.

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