GCF (HCF) of 28 and 84

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 28 and 84?

Answer

GCF (HCF) of 28 and 84 is
28

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

28 divides 84 (84 ÷ 28 = 3), so the GCF is the smaller number itself.

28 = 22 × 7

84 = 22 × 3 × 7

Prime2884Lowest power
2222222
3—3—
7777

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

GCF = 22 × 7 = 28

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
28302
28311
28324
28342
28357
28364
28382
28391
28404
284214
28431
28444
28451
28462
28484
28497
28502
28531
28551
285628
28604
28637
28644
287014
28724
28804
288428
289814
281057
2812614

FAQ

What is the Greatest Common Divisor of 28 and 84?

GCF (HCF) of 28 and 84 is 28

How to find the GCF of 28 and 84?

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

What prime factors do 28 and 84 share?

The prime factorizations of 28 and 84 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 28/84?

Divide the numerator and the denominator by the GCF 28: 28 ÷ 28 = 1 and 84 ÷ 28 = 3. So 28/84 in lowest terms is 1/3.

See Also