GCF (HCF) of 141 and 329

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What is the Greatest Common Divisor of 141 and 329?

Answer

GCF (HCF) of 141 and 329 is
47

Common factors: 1, 47

47 divides both: 141 ÷ 47 = 3, 329 ÷ 47 = 7 — and 3 and 7 share no factor but 1, so no larger number divides both.

141 = 3 × 47

329 = 7 × 47

Prime141329Lowest power
33——
7—7—
47474747

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

GCF = 47

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GCF Table

Number 1Number 2GCF
1413141
1413153
1413161
1413171
1413183
1413191
1413201
1413213
1413221
1413231
1413243
1413251
1413261
1413273
1413281
14132947
1413303
1413311
1413321
1413333
1413341
1413351
1413363
1413371
1413381
1413393
1413401
1413411
1413423
1413431

FAQ

What is the Greatest Common Divisor of 141 and 329?

GCF (HCF) of 141 and 329 is 47

How to find the GCF of 141 and 329?

You can find the GCF of 141 and 329 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 141 and 329 is 47.

What prime factors do 141 and 329 share?

The prime factorizations of 141 and 329 have 47 in common, and multiplying those shared primes gives 47 — exactly the greatest common factor.

How does the GCF reduce the fraction 141/329?

Divide the numerator and the denominator by the GCF 47: 141 ÷ 47 = 3 and 329 ÷ 47 = 7. So 141/329 in lowest terms is 3/7.

See Also