GCF (HCF) of 174 and 142

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What is the Greatest Common Divisor of 174 and 142?

Answer

GCF (HCF) of 174 and 142 is
2

Common factors: 1, 2

2 divides both: 174 ÷ 2 = 87, 142 ÷ 2 = 71 — and 87 and 71 share no factor but 1, so no larger number divides both.

174 = 2 × 3 × 29

142 = 2 × 71

Prime174142Lowest power
2222
33——
2929——
71—71—

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

GCF = 2

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GCF Table

Number 1Number 2GCF
1741271
1741282
1741293
1741302
1741311
1741326
1741331
1741342
1741353
1741362
1741371
1741386
1741391
1741402
1741413
1741422
1741431
1741446
17414529
1741462
1741473
1741482
1741491
1741506
1741511
1741522
1741533
1741542
1741551
1741566

FAQ

What is the Greatest Common Divisor of 174 and 142?

GCF (HCF) of 174 and 142 is 2

How to find the GCF of 174 and 142?

You can find the GCF of 174 and 142 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 174 and 142 is 2.

What prime factors do 174 and 142 share?

The prime factorizations of 174 and 142 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 174/142?

Divide the numerator and the denominator by the GCF 2: 174 ÷ 2 = 87 and 142 ÷ 2 = 71. So 174/142 in lowest terms is 87/71.

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