GCF (HCF) of 50 and 430

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What is the Greatest Common Divisor of 50 and 430?

Answer

GCF (HCF) of 50 and 430 is
10

Common factors: 1, 2, 5, 10

10 divides both: 50 ÷ 10 = 5, 430 ÷ 10 = 43 — and 5 and 43 share no factor but 1, so no larger number divides both.

50 = 2 × 52

430 = 2 × 5 × 43

Prime50430Lowest power
2222
55255
43—43—

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

GCF = 2 × 5 = 10

See Also

FAQ

What is the Greatest Common Divisor of 50 and 430?

GCF (HCF) of 50 and 430 is 10

How to find the GCF of 50 and 430?

You can find the GCF of 50 and 430 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 430 is 10.

What prime factors do 50 and 430 share?

The prime factorizations of 50 and 430 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 50/430?

Divide the numerator and the denominator by the GCF 10: 50 ÷ 10 = 5 and 430 ÷ 10 = 43. So 50/430 in lowest terms is 5/43.