GCF (HCF) of 8 and 52

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What is the Greatest Common Divisor of 8 and 52?

Answer

GCF (HCF) of 8 and 52 is
4

Common factors: 1, 2, 4

4 divides both: 8 ÷ 4 = 2, 52 ÷ 4 = 13 — and 2 and 13 share no factor but 1, so no larger number divides both.

8 = 23

52 = 22 × 13

Prime852Lowest power
2232222
13—13—

— = 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
8271
8284
8291
8302
8328
8331
8351
8364
8408
8422
8431
8444
8451
8488
8491
8502
8524
8531
8568
8591
8604
8631
8648
8728
8808
8902
8968
81004
81208
81,0008

FAQ

What is the Greatest Common Divisor of 8 and 52?

GCF (HCF) of 8 and 52 is 4

How to find the GCF of 8 and 52?

You can find the GCF of 8 and 52 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 52 is 4.

What prime factors do 8 and 52 share?

The prime factorizations of 8 and 52 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 8/52?

Divide the numerator and the denominator by the GCF 4: 8 ÷ 4 = 2 and 52 ÷ 4 = 13. So 8/52 in lowest terms is 2/13.

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