GCF (HCF) of 30 and 150

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What is the Greatest Common Divisor of 30 and 150?

Answer

GCF (HCF) of 30 and 150 is
30

Common factors: 1, 2, 3, 5, 6, 10, 15, 30

30 divides 150 (150 ÷ 30 = 5), so the GCF is the smaller number itself.

30 = 2 × 3 × 5

150 = 2 × 3 × 52

Prime30150Lowest power
2222
3333
55525

GCF = 2 × 3 × 5 = 30

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GCF Table

Number 1Number 2GCF
30555
30562
30582
306030
307010
307515
308010
30966
3010010
3010515
3011010
301155
3012030
3013010
3013515
3015030
3017010
3019515
302355
302382
3029010
303055
3033030
3034010
3035010
3040515
304155
3043515
3044010
3047010

FAQ

What is the Greatest Common Divisor of 30 and 150?

GCF (HCF) of 30 and 150 is 30

How to find the GCF of 30 and 150?

You can find the GCF of 30 and 150 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 150 is 30.

What prime factors do 30 and 150 share?

The prime factorizations of 30 and 150 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

How does the GCF reduce the fraction 30/150?

Divide the numerator and the denominator by the GCF 30: 30 ÷ 30 = 1 and 150 ÷ 30 = 5. So 30/150 in lowest terms is 1/5.

See Also