GCF (HCF) of 52 and 84

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What is the Greatest Common Divisor of 52 and 84?

Answer

GCF (HCF) of 52 and 84 is
4

Common factors: 1, 2, 4

4 divides both: 52 ÷ 4 = 13, 84 ÷ 4 = 21 — and 13 and 21 share no factor but 1, so no larger number divides both.

52 = 22 × 13

84 = 22 × 3 × 7

Prime5284Lowest power
2222222
3—3—
7—7—
1313——

— = 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
52691
52702
52711
52724
52731
52742
52751
52764
52771
527826
52791
52804
52811
52822
52831
52844
52851
52862
52871
52884
52891
52902
529113
52924
52931
52942
52951
52964
52971
52982

FAQ

What is the Greatest Common Divisor of 52 and 84?

GCF (HCF) of 52 and 84 is 4

How to find the GCF of 52 and 84?

You can find the GCF of 52 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 52 and 84 is 4.

What prime factors do 52 and 84 share?

The prime factorizations of 52 and 84 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 52/84?

Divide the numerator and the denominator by the GCF 4: 52 ÷ 4 = 13 and 84 ÷ 4 = 21. So 52/84 in lowest terms is 13/21.

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