GCF (HCF) of 228 and 380

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 228 and 380?

Answer

GCF (HCF) of 228 and 380 is
76

Common factors: 1, 2, 4, 19, 38, 76

76 divides both: 228 ÷ 76 = 3, 380 ÷ 76 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

228 = 22 × 3 × 19

380 = 22 × 5 × 19

Prime228380Lowest power
2222222
33——
5—5—
19191919

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

GCF = 22 × 19 = 76

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
2283651
2283666
2283671
2283684
2283693
2283702
2283711
22837212
2283731
2283742
2283753
2283764
2283771
2283786
2283791
22838076
2283813
2283822
2283831
22838412
2283851
2283862
2283873
2283884
2283891
2283906
2283911
2283924
2283933
2283942

FAQ

What is the Greatest Common Divisor of 228 and 380?

GCF (HCF) of 228 and 380 is 76

How to find the GCF of 228 and 380?

You can find the GCF of 228 and 380 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 228 and 380 is 76.

What prime factors do 228 and 380 share?

The prime factorizations of 228 and 380 have 2 × 2 × 19 in common, and multiplying those shared primes gives 76 — exactly the greatest common factor.

How does the GCF reduce the fraction 228/380?

Divide the numerator and the denominator by the GCF 76: 228 ÷ 76 = 3 and 380 ÷ 76 = 5. So 228/380 in lowest terms is 3/5.

See Also