GCF (HCF) of 84 and 140

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What is the Greatest Common Divisor of 84 and 140?

Answer

GCF (HCF) of 84 and 140 is
28

Common factors: 1, 2, 4, 7, 14, 28

28 divides both: 84 ÷ 28 = 3, 140 ÷ 28 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

84 = 22 × 3 × 7

140 = 22 × 5 × 7

Prime84140Lowest power
2222222
33——
5—5—
7777

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

GCF = 22 × 7 = 28

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GCF Table

Number 1Number 2GCF
841251
8412642
841271
841284
841293
841302
841311
8413212
841337
841342
841353
841364
841371
841386
841391
8414028
841413
841422
841431
8414412
841451
841462
8414721
841484
841491
841506
841511
841524
841533
8415414

FAQ

What is the Greatest Common Divisor of 84 and 140?

GCF (HCF) of 84 and 140 is 28

How to find the GCF of 84 and 140?

You can find the GCF of 84 and 140 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 140 is 28.

What prime factors do 84 and 140 share?

The prime factorizations of 84 and 140 have 2 × 2 × 7 in common, and multiplying those shared primes gives 28 — exactly the greatest common factor.

How does the GCF reduce the fraction 84/140?

Divide the numerator and the denominator by the GCF 28: 84 ÷ 28 = 3 and 140 ÷ 28 = 5. So 84/140 in lowest terms is 3/5.

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