GCF (HCF) of 84 and 100

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What is the Greatest Common Divisor of 84 and 100?

Answer

GCF (HCF) of 84 and 100 is
4

Common factors: 1, 2, 4

4 divides both: 84 ÷ 4 = 21, 100 ÷ 4 = 25 — and 21 and 25 share no factor but 1, so no larger number divides both.

84 = 22 × 3 × 7

100 = 22 × 52

Prime84100Lowest power
2222222
33——
5—52—
77——

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

GCF = 22 = 4

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GCF Table

Number 1Number 2GCF
84851
84862
84873
84884
84891
84906
84917
84924
84933
84942
84951
849612
84971
849814
84993
841004
841011
841026
841031
841044
8410521
841062
841071
8410812
841091
841102
841113
8411228
841131
841146

FAQ

What is the Greatest Common Divisor of 84 and 100?

GCF (HCF) of 84 and 100 is 4

How to find the GCF of 84 and 100?

You can find the GCF of 84 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 100 is 4.

What prime factors do 84 and 100 share?

The prime factorizations of 84 and 100 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 84/100?

Divide the numerator and the denominator by the GCF 4: 84 ÷ 4 = 21 and 100 ÷ 4 = 25. So 84/100 in lowest terms is 21/25.

See Also