GCF (HCF) of 24 and 84

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 24 and 84?

Answer

GCF (HCF) of 24 and 84 is
12

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

12 divides both: 24 ÷ 12 = 2, 84 ÷ 12 = 7 — and 2 and 7 share no factor but 1, so no larger number divides both.

24 = 23 × 3

84 = 22 × 3 × 7

Prime2484Lowest power
2232222
3333
7—7—

— = 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
243612
24371
24382
24393
24408
24411
24426
24431
24444
24453
24462
244824
24502
24524
24531
24546
24568
246012
24648
247224
24808
248412
24888
24906
249624
241004
241048
2412024
242106
241,0008

FAQ

What is the Greatest Common Divisor of 24 and 84?

GCF (HCF) of 24 and 84 is 12

How to find the GCF of 24 and 84?

You can find the GCF of 24 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 84 is 12.

What prime factors do 24 and 84 share?

The prime factorizations of 24 and 84 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 24/84?

Divide the numerator and the denominator by the GCF 12: 24 ÷ 12 = 2 and 84 ÷ 12 = 7. So 24/84 in lowest terms is 2/7.

See Also