GCF (HCF) of 30 and 435

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 30 and 435?

Answer

GCF (HCF) of 30 and 435 is
15

Common factors: 1, 3, 5, 15

15 divides both: 30 ÷ 15 = 2, 435 ÷ 15 = 29 — and 2 and 29 share no factor but 1, so no larger number divides both.

30 = 2 × 3 × 5

435 = 3 × 5 × 29

Prime30435Lowest power
22——
3333
5555
29—29—

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

GCF = 3 × 5 = 15

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
3010515
3011010
301155
3012030
3013010
3013515
3015030
3016515
3017010
3018030
3019515
3021030
302355
302382
3029010
303055
3033030
3034010
3035010
3036030
3037515
3040515
304155
3043515
3044010
304455
3047010
3048030
304855
3049515

FAQ

What is the Greatest Common Divisor of 30 and 435?

GCF (HCF) of 30 and 435 is 15

How to find the GCF of 30 and 435?

You can find the GCF of 30 and 435 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 435 is 15.

What prime factors do 30 and 435 share?

The prime factorizations of 30 and 435 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 30/435?

Divide the numerator and the denominator by the GCF 15: 30 ÷ 15 = 2 and 435 ÷ 15 = 29. So 30/435 in lowest terms is 2/29.

See Also