GCF (HCF) of 84 and 144

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 84 and 144?

Answer

GCF (HCF) of 84 and 144 is
12

Common factors: 1, 2, 3, 4, 6, 12

12 divides both: 84 ÷ 12 = 7, 144 ÷ 12 = 12 — and 7 and 12 share no factor but 1, so no larger number divides both.

84 = 22 × 3 × 7

144 = 24 × 32

Prime84144Lowest power
2222422
33323
77——

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

GCF = 22 × 3 = 12

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
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
841551
8415612
841571
841582

FAQ

What is the Greatest Common Divisor of 84 and 144?

GCF (HCF) of 84 and 144 is 12

How to find the GCF of 84 and 144?

You can find the GCF of 84 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 144 is 12.

What prime factors do 84 and 144 share?

The prime factorizations of 84 and 144 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 84/144?

Divide the numerator and the denominator by the GCF 12: 84 ÷ 12 = 7 and 144 ÷ 12 = 12. So 84/144 in lowest terms is 7/12.

See Also