GCF (HCF) of 45 and 150

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What is the Greatest Common Divisor of 45 and 150?

Answer

GCF (HCF) of 45 and 150 is
15

Common factors: 1, 3, 5, 15

15 divides both: 45 ÷ 15 = 3, 150 ÷ 15 = 10 — and 3 and 10 share no factor but 1, so no larger number divides both.

45 = 32 × 5

150 = 2 × 3 × 52

Prime45150Lowest power
2—2—
33233
55525

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

GCF = 3 × 5 = 15

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GCF Table

Number 1Number 2GCF
45483
45491
45505
45513
45521
45549
45555
45561
456015
45639
45655
45705
45729
457515
45761
45805
45819
459045
45955
45999
451005
4510515
451089
451179
4512015
451255
4513545
4515015
4518045
4540545

FAQ

What is the Greatest Common Divisor of 45 and 150?

GCF (HCF) of 45 and 150 is 15

How to find the GCF of 45 and 150?

You can find the GCF of 45 and 150 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 45 and 150 is 15.

What prime factors do 45 and 150 share?

The prime factorizations of 45 and 150 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 45/150?

Divide the numerator and the denominator by the GCF 15: 45 ÷ 15 = 3 and 150 ÷ 15 = 10. So 45/150 in lowest terms is 3/10.

See Also